Number Theory Meetings at Nottingham 12-16 April 1996 Organizers: D.A. Burgess (Nottingham), J.H. Coates (Cambridge), I.B. Fesenko (Nottingham) Programme: Emphasis on recent results and methods in algebraic number theory, arithmetic algebraic geometry, analytic number theory Speakers include A. Balog (Budapest), D. Burns (London), G. Henniart (Paris), H. Koch (Berlin), A. Panchishkin (Grenoble), J. Ritter (Augsburg), V. Snaith (Hamilton), Sh. Sen (Ithaca), A. Schinzel (Warszawa), R. Taylor (Oxford), S. Vostokov (S. Petersburg), E.-W. Zink (Berlin). Information: D. A. Burgess, I. B. Fesenko Department of Mathematics University of Nottingham ( I. Fesenko

                   REGIONAL ARITHMETIC DAY

                 The University of Nottingham

                  Department of Mathematics

                    Friday 7th June 1996

                       THE PROGRAMME

      Professor Y Koya (Yokohama City University)
            "Galois symbols of transcendental extension fields"


      Dr G R Everest (University of East Anglia)
            "Measures of Integral Polynomials"

      Professor J H H Chalk & Mr R Dymond (Imperial College, 
            "Some asymptotic formulae over arithmetic 


      Dr D R Heath-Brown (Oxford University)
            "Bounds for Gauss Sums"

The lectures will be in Room C5 of the Mathematics and Physics 

Lunch will be available in the Department.  If you wish to take 
lunch please inform me or the Department in advance, letting us 
know also if you will require a vegetarian meal.

            Prof D.A. Burgess
            Department of Mathematics
            University of Nottingham
            NG7 2RD
Tel:        0115-9514940
Fax:        0115-9514951


                 Tuesday 17th December 1996

Room 5215, James Clerk Maxwell Building, King's Buildings, 
Edinburgh University, Mayfield Road, Edinburgh.

Coffee will be available in room 5212 from 11.30

12.00 Nigel Watt (Edinburgh)

           " A mean-square bound for Dirichlet's L-function"


2.30 Mike Bennett (Ann Arbor)

    "Simultaneous Pell equations and ranks of elliptic curves"


4.00 Mohan Nair (Glasgow)

           "Short sums of certain arithmetical functions"

All welcome.

The 42 bus(46 going back) takes you from The Mound
(near the station) to King's Buildings. It runs at 15-minute
intervals. Otherwise, you can take a taxi(about 5 pds).

It would be helpful if you could tell me if you plan to attend. 
You could also say if you were interested in joining the 
speakers for a meal afterwards.

Chris Smyth


       		 	APRIL 4/5, 1997


                    CONFERENCE PROGRAM

The conference will feature hour talks by M. Kolountzakis 
(University of Illinois), K. Ono (Institute for Advanced
Study and Penn State University), J. Selfridge (Northern 
Illinois University), and K.  Soundararajan (Princeton 
University), and contributed talks of 20 minutes duration.

The conference begins Friday, April 4, at 8:50 a.m., and
is expected to end at about 5 p.m. Saturday.  The Friday
talks will be given at the University Inn in Champaign,
located on the University campus, four blocks west of the
Mathematics building, Altgeld Hall.  On Saturday all talks
will be given in Altgeld Hall.


A block of rooms has been reserved at the University Inn
for the nights of April 3 - 5.  The rates are $50/$61 plus
tax for a single/double room and include a free continental
breakfast.  Reservations should be made directly with the
University Inn (phone 800-322-8282 or 217-384-2100). 
Be sure to identify yourself as a participant in the
Illinois Number Theory Conference when making the reservation.
The deadline for hotel reservations is March 4, 1997.


A banquet dinner for conference participants will be given
Friday, April 4, at the University Inn. There will be a 
choice of three entrees, including a vegetarian option.
The cost for the dinner is $15 per person.  Dinner 
reservations must be made and paid for by February 15
using the registration form at the end of this message.
A full refund will be given for cancellations received
by March 30.


For those not coming by car, the most convenient mode of
travel is by plane. The Champaign airport is located a 
few miles south of Champaign and is served by American
Airlines, Northwest Airlines, TWA, and US Air. The 
University Inn provides complimentary transportation
to and from the airport for its guests. Champaign is
also a stop on the Amtrak line from New Orleans to Chicago.
More information about Champaign-Urbana, including maps,
hotel and restaurant directories, and airline schedules,
can be found at the website


To register for the conference, return the form at the
end of this message to Prof. Hildebrand; to make a banquet
reservation, enclose a check for $15, payable to the 
University of Illinois.  Registered participants will
receive in early March a second announcement that will
include a schedule of talks, maps and driving directions.


                    REGISTRATION FORM

Fill out and return this form, to Prof. A.J. Hildebrand,
Univ. of Illinois, Dept. of Mathematics, 
1409 West Green St., Urbana, IL 61801 (email
by February 15, 1997.




Mailing address:

Date and time of arrival (if known):

Date and time of departure (if known):

If you are interested in giving a contributed talk 
(20 minutes or less), please indicate here by giving
a title and an abstract.

Title of talk:

Abstract (2 or 3 sentences, in plain text or TeX):


___ I wish to make a reservation for Friday's banquet
x dinner (reservation deadline Feb. 15, 1997;
please enclose a check of $15,
payable to the University of Illinois)

    Entree choice (check one):
    ___  Chicken Cordon Bleu
    ___  Roast Beef Bordelaise
    ___  Vegetarian Fettuccini

___ I do not wish to make a dinner reservation


Date:         Fri, 10 Jan 1997 14:24:09 -0500
Reply-To: Henri Cohen 
Sender: Number Theory List 
From: Henri Cohen 
Subject:      Book announcement: Lattices in Euclidean space
Status: R

The book


                       Jacques MARTINET
              Professor, University of Bordeaux

recently appeared. It is sold at the price of 385 FF,
and can be ordered at

                        Editions MASSON,
                        5, rue Laromigui\`ere,
                        F-75241 Paris cedex 05.


Here is a translation into English of the back cover of the 
book, followed by the table of contents:


This book is dedicated to beginning graduate (or to advanced 
undergraduate) students in mathematics or computer science, 
as well as to researchers.
The reader is expected to be somewhat familiar with the basic
techniques of algebra and Euclidean geometry that one can 
usually learn in graduate courses.

To a given lattice in a Euclidean space in naturally attached a
``regular'' sphere packing. To exhibit dense sphere packings is
one of the main problems in the geometry of numbers. The 
property of perfection, the central topic of this book, is a 
property of a linear nature, which is fullfilled by all extreme 
lattices, those on which the density attains a local maximum.

The book contains many (164) exercises. Two introductory 
chapters and four appendices will help the reader to master 
the language of the theory as well as the techniques from 
algebra which are needed.


                    TABLE DES MATI\`ERES  --  CONTENT

Introduction (Introduction)

Chapter I
   G\'en\'eralit\'es sur les r\'eseaux
   Generalities on lattices

Chapter II
   In\'egalit\'es g\'eom\'etriques
   Geometrical inequalities

Chapter III
   Perfection et eutaxie
   Perfection and eutaxy

Chapter IV
   Les r\'eseaux de racines
   Root lattices

Chapter V
   R\'eseaux li\'es aux r\'eseaux de racines
   Lattices related to root lattices

Chapter VI
   R\'eseaux parfaits de petitie dimension
   Low-dimensional perfect lattices

Chapter VII
   L'algorithme de Vorono{\"\i}
   The Voronoi algortithm

Chapter VIII
   R\'eseaux hermitiens
   Hermitian lattices

Chapter IX
   Les configurations de vecteurs minimaux
   Configurations of minimal vectors

Chapter X
   Extr\'emalit\'e dans des familles de r\'eseaux
   Extremality in families of lattices

Chapter XI
   Op\'erations de groupes
   Group actions

Chapter XII
   Sections des r\'eseaux
   Sections of lattices

Chapter XIII
   Extensions de l'algorithme de Vorono{\"\i}
   Enlargements of the Voronoi algorithm

Chapter XIV
   Donn\'ees num\'eriques
   Numerical data

Appendix 1
   Formes quadratiques et anneaux de Dedekind
   Quadratic forms and Dedekind domains

Appendix 2
   Les groupes de quaternions
   Quaternionic groups

Appendix  3
   Alg\`ebres semi-simples
   Semi-simple algebras

Appendix 4
   Arithm\'etique dans les alg\`ebres semi-simples
   Arithmetic in semi-simple algebras


From: Conference 
Subject:      13th Czech and Slovak International Conference 
on Number Theory

This is the information about Number Theory Conference and
pre-registration form. The same information is in the paper form.
If you are interested in this conference, you can send 
pre-registration form by e-mail or by regular mail.

                      First announcement

                   13th Czech and Slovak
                 International Conference on
                        Number Theory

                  Colloquium on Number Theory

                Ostravice (The Czech Republic)
                    September 1 - 5, 1997


                  University of Ostrava
      Mathematical Institute of Slovak Academy of Sciences
               Masaryk University of Brno
               Charles University, Praha

The 13th Czech and Slovak Conference on Number Theory is a 
traditional international conference on number theory which
has been held for more than a quarter of the century. Since
1971 it is organized every two years. In 1995 it was in 
Liptovsky Jan, Slovak Republik and more than 60 participants
from Austria, Czech Republik, Canada, Hungary, Poland,
Russia, Slovak Republic and Ukraina took part at this 

                 Organizing Committee

Kalman Gyory,     University of Debrecen, Hungary
Jiri Mockor,      University of Ostrava, The Czech Republic
Bretislav Novak,  Charles University, Prague, The Czech Republic
Ladislav Skula,   Masaryk University of Brno, The Czech Republic
Oto Strauch,      Mathematical Institute of Slovak Academy of
                  Sciences, The Slovak Republic
Kazimierz Szymiczek, Silesian University, Katowice, Poland


The 13th conference will take place in a mountain centre :
"Ostravice" in a beautiful country just under the highest 
peak of Beskydy Mountains - Lysa Hora. Transport from town 
Ostrava (with an international airport, railway and bus 
connections with all towns in Czech Republic and abroad) will 
be organized.


The conference will cover the broad spectrum of topics of 
elementary, analytic and algebraic theory of numbers.


Participation has been promised eg. by Karl Dilcher (Canada), 
Kalman Gyory (Hungary), Stanislav Jakubec (Czech Republic), 
Anatolij Karatsuba (Ukraine), Radan Kucera (Czech Republic), 
Jiri Mockor (Czech Republic), Bretislav Novak (Czech Republic), 
Stefan Porubsky (Czech Republic), Andrzej Schinzel (Poland), 
Ladislav Skula (Czech Republic), Oto Strauch (Slovak Republic), 
Kazimierz Szymiczek (Poland), Robert F. Tichy (Austria).


We intend to publish selected talks (after refereeing) in 
the Proceedings of the Conference as a special issue of our
journal Acta Mathematica et Informatica Universitatis 
Ostraviensis.  Moreover, abstract of all talks will be prepared 
before the Conference.

January 31, 1997 - deadline for requesting the second 
April 30, 1997 - deadline for sending an Application and 
Registration form;
July 31, 1997 - deadline for sending an abstract of a talk;
February 28, 1998 - deadline for sending the final form of a 
paper for publication;


If you are interested in the second announcement, please, fill'
in the enclosed pre-registration form and send it to the address 
below, or use the below mentioned e-mail address

Number Theory Conference             e-mail: CONF@OSU.CZ
Department of Mathematics
University of Ostrava
Brafova 7
CZ-70103  Ostrava 1
Czech Republic

             Pre- registration form

First name:


Employer address:

tel:                        fax:                e-mail:

Address for correspondence (if different):

I would like to have a talk:                 YES             NO

I would like to publish, the talk in the Proceedings:YES      NO

Please return this pre- registration form before 31th January, 
1997 by e-mail to the address
or by regular mail to the address

Number Theory Conference
Department of Mathematics
University of Ostrava
Brafova 7
CZ-70103  Ostrava 1
Czech Republic

                         THIS IS THE
                     1ST ANNOUNCEMENT OF:
                  THE 11TH ANNUAL WORKSHOP ON
  WHEN:   23 - 26 March, 1997
  WHERE:  University of Colorado, Boulder
  ABOUT THE WORKSHOP: Over the last ten years, the Annual
  Workshop has remained a small and friendly conference.  
  Those attending range from new Ph.Ds to well established 
  researchers. For young researchers, the conference has 
  provided support and encouragement;
  for accomplished researchers, it has provided the 
  opportunity to mentor as well as a forum for exchanging 
  ideas.  Aside from the usual role of a conference, we 
  believe this conference is important to the development
  of inexperienced researchers and for the retention of 
  women in the research community.
  All participants are invited to give talks (typically 
  almost all the participants do).  The talks are accessible
  to the entire audience, and the atmosphere is supportive,
  never hostile.
  The alliances established at the workshop are important to
  the development of inexperienced or geographically 
  isolated researchers.
  Approximately one third of the participants are women 
  and we believe this conference significantly encourages 
  these women to remain engaged in the research community.
  Many of the regular participants consider this their 
  favorite conference.
  GENERAL INFORMATION:  As usual, there is a $25 registration 
  This money will be used to buy snacks, like fresh bagels,
  schmears, fruit, fresh juice, coffee and tea 
   at breakfast time, as well as lighter snacks, 
  coffee and tea throughout the day.  In addition, your 
  registration fee pays for your own conference coffee mug 
  (out of which you must drink the available liquids), and
  for the conference party.
  Each participant is strongly encouraged to give a talk, 
  of 20, 40 or 60 minutes in length (your choice).
  To get to Boulder by airplane, you need to fly to Denver
  International Airport, or to Colorado Springs.  (DIA
  is closer to Boulder.) There are shuttles and buses that
  transport people from these airports to Denver.
  The next mailing, which you should receive by early February,
  will contain information about local accomodations (including
  the costs), and transportation from regional airports to
  Boulder.  (If you do not receive this mailing by early
  February, please phone Lynne Walling at (303) 492-0249, or
  e-mail Bill Duke at
  In March, the weather in Boulder is quite variable.  As those
  of you who were here for the 6th Annual Workshop will recall,
  one day may be cold and snowy, while the next day may be
  incredibly warm and sunny.  You should be prepared for all 
  kinds of weather here in Boulder.
  Certainly there are many places to cross-country or down-hill
  ski in the nearby mountains.  Then next mailing will include
  phone numbers to call for information regarding skiing in
  Colorado.  There is also a school of massage here in Boulder,
  at which one can get a relatively inexpensive professional
  massage; the next mailing will include their phone number as
  WHAT YOU SHOULD DO NOW:  If you think you will be attending
  this gathering, you should send e-mail to Lynne Walling, at, or to Bill Duke, at, to say that you expect to attend.  
  You are encouraged to inform us whether you will be speaking 
  and if so, for how long.  Also, if you have this information, 
  you should inform us which days you will be available to speak.
  Also, please let us know of any change in your email address.
  SPREAD THE WORD:  If you know of other people who should be
  included in these mailings, please send Lynne or Bill the 
  e-mail or paper-mail addresses.
  WARNING:  We are sometimes experiencing difficulties with our
  computer system in the math department here at Boulder.  For
  this reason, I (Lynne) will reply to each message I receive 
  so that you will know it was successfully transmitted.  If 
  you do not receive such a reply, please contact me or Bill, 
  repeating your message and expressing the failure of 
  receiving a response.
  YAY:  We look forward to seeing you in Boulder this March, or
  in Missouri next March, when Dan Lieman will be hosting the
  12th Annual Workshop on Automorphic Forms and Related Topics.

In the week August 30 to September 5, 1998, a conference on

       Algebraic Number Theory and Diophantine Analysis
          (a satellite conference of ICM-98, Berlin)

will be held in Graz, Austria. This international conference is organized by

Franz HALTER-KOCH (University of Graz)
Robert F. TICHY (Graz Technical University).

The topics of the conference include algebraic number theory, diophantine
equations, transcendence, uniform distribution as well as computational
and analytic aspects. There will be one hour survey lectures as well as
20 minutes contributed talks (open for everybody) and a special session
on diophantine equations.

The following mathematicians have already agreed to attend the conference:

Jozsef BECK (Rutgers University)
Joerg BRUEDERN (University of Stuttgart)
Jan-Hendrik EVERTSE (University of Leiden)
Ernst-Ulrich GEKELER (University of Saarbruecken)
Kalman GYOERY (University of Debrecen)
Stephane LOUBOUTIN (University of Caen)
Wladislaw NARKIEWICZ (University of Wroclaw)
Andrew M. ODLYZKO (Bell Labs), tentatively
Attila PETHOE (University of Debrecen)
Florian POP (University of Bonn)
Andrzej SCHINZEL (Polish Academy of Sciences), tentatively
Wolfgang M. SCHMIDT (University of Colorado), tentatively
Rene SCHOOF (University of Rome)
Martin TAYLOR (University of Manchester)
Robert TIJDEMAN (University of Leiden)
Michel WALDSCHMIDT (Institut Poincar'e, Paris)

Graz is the capital of Styria, a southern province of Austria. The meeting
will take place at the University and the Technical University, which are
both in walking distance from the city center. Graz can be reached either
by train or by plane. There are flights from Vienna, Zurich and Frankfurt.

There will be a possibility for moderately priced housing in a dormitory.
Of course, it is possible to choose any hotel in Graz via the tourist office.
The conference fee is approximately 1000 ATS (~150DM ~90US$ ~450FF).
In special cases a reduction of the conference fee may be possible.
For more details we refer to the second announcement in approximately one

Everybody interested in the second announcement should contact the
following e-mail address:

We are looking forward to hearing from you soon.

With best regards

  Franz Halter-Koch                       Robert F. Tichy
  Institut fuer Mathematik                Institut fuer Mathematik A
  Karl-Franzens Universitaet Graz         Technische Universitaet Graz
  Heinrichstrasse 36                      Steyrergasse 30
  A-8010 Graz, Austria                    A-8010 Graz, Austria

This is a preliminary announcement of the first


which will be held at

           Reed College, Portland, Oregon


           Saturday, April 5.

The following speakers will give one hour talks:

           David Boyd, University of British Columbia
           Ralph Greenberg, University of Washington
           Hendrik Lenstra, Jr., University of California, Berkeley
           Peter Stevenhagen, University of Amsterdam.

This conference follows in the successful tradition of ``Pacific
Northwest'' conferences in geometry and topology.  This is the first
Pacific Northwest number theory conference, and we hope that this will
become an annual event.

Talks will start at 10:30am and be finished by 5pm.  Lunch and snacks
will be provided.  Registration will be $15 ($0 for students).

No official arrangements will be made for dinner, or hotel/motel
accommodations, or basketball tickets, or opera tickets ("Carmina
Burana" and "I Pagliacci" are being performed by the Portland Opera
Company Saturday evening), but the organizers will be happy to assist
attendees who need help with arrangements for any of these.

Please let one of the organizers of the conference know if you plan to
attend, or if you want to be on the mailing list for the final announcement
which will be mailed early in March.

Joe Buhler                        Tom Schmidt
Department of Mathematics         Department of Mathematics
Reed College                      Oregon State University
Portland, OR 97202                Corvallis, OR 97331      

13th Czech and Slovak International Conference on Number Theory

(Also see Final Announcement below:

Central European
Colloquium on Number Theory

Ostravice (Czech Republic),
September 1 - 5, 1997


University of Ostrava
Mathematical Institute of Slovak Academy of Sciences
Masaryk University,  Brno
Charles University,  Praha


The following mathematicians plan to attend the conference

Takashi Agoh, Japan
Shigeki Akiyama, Japan
Christoph Baxa, Austria
Vasily Bernik, Belarus
Yann Budeaud, France
Jozef Bukor, Slovakia
James Carter, USA
Alfred Czogala, Poland
Jiri Cizek, Czech Republic
Jean-Marc Deshouilleres, France
Andrej Dujella, Croatia
Martin Epkenhans, Germany
Henri Faure, France
Jozef Fecenko, Slovakia
Peter Filakovsky, Slovakia
John Friedlander, Canada
Petr Fuchs, Czech Republic
Istvan Gaal, Hungary
Kurt Girstmair, Austria
Bernhard Gittenberger, Austria
Peter Grabner, Austria
Georges Grekos, France
Harald Gropp, Germany
Kalman Gyory, Hungary
Jaroslav Hancl, Czech Republic
Stanislav Jakubec, Slovakia
Anatoliy Karatsuba, Russia
Katja Karatsuba, Russia
John Knopfmacher, South Africa
Angeliki Kontolatou, Greece
Ivan Korec, Slovakia
Juraj Kostra, Czech Republic
Katalin Kovacs, Hungary
Ella Kovalevskaya, Belarus
Radan Kucera, Czech Republic
Erich Lamprecht, Germany
Gerhard Larcher, Austria
Guenter Lettl, Austria
Stephane Loubotin, France
Tomasz Luczak, USA
Eugenijus Manstavicius, Litvia
Tauno Metsankyla, Finland
Jiri Mockor, Czech Republic
Wolfgang Mueller, Austria
Wladislaw Narkiewicz, Poland
Karol Nemoga, Slovakia
Bretislav Novak, Czech Republic
Milan Pasteka, Czech Republic
Alberto Perelli, Italy
Robert Perlis, USA
Meinhard Peters, Germany
Attila Petho, Hungary
Richard Pinch, UK
Stefan Porubsky, Czech Republic
Andrzej Rotkiewicz, Poland
Michael Rubinstein, USA
Imre Ruzsa, Hungary
Anthony Shannon, Australia
Renate Scheidler, USA
Andrzej Schinzel, Poland
Johanes Schoissengeier, Austria
Ladislav Skula, Czech Republic
Andrzej Sladek, Poland
John Stabakis, Greece
Jeffrey Stopple, Czech Republic
Oto Strauch, Slovakia
Janos Suranyi, Hungary
Kazimierz Szymiczek, Poland
Tibor Salat, Slovakia
Yoshio Tanigawa, Japan
Joerg.M. Thuswaldner, Austria
Joerg Thuswaldner, Austria
Robert F. Tichy, Austria
Janos Toth, Slovakia
Larissa Trelina, Belarus
Eric Urban, France
Denis Vasilyev, Belarus
Sergei Vostokov, Russia
Reinhard Winkler, Austria


The conference will be open on Monday, 1st September and closed on
Friday, 5th  September

Approximately 10 invited plenary lectures are expected to be
presented during the conference, 45 minutes each.

Plenary lectures will be delivered preliminary by:
Kalman Gyory, Hungary, Anatoliy Karatsuba, Russia, Wladislaw
Narkiewicz, Poland, Stefan Porubsky, Czech Republic, Andrzej
Schinzel, Poland, Johanes Schoissengeier, Austria, Ladislav Skula,
Czech Republic, Kazimierz Szymiczek, Poland, Tibor Salat, Slovakia,
Robert F. Tichy, Austria,

Contributed talks (up to 20 minutes) will be given in sections. The
language of the conference is English. The third announcement will
include the detailed program (including titles of talks).


All the conference participants are invited to present their
contributed talks in the form of extended abstracts in English. The
basic scheme is as follows:
* title of a talk
* name of author(s)
* abstract
* AMS classification
* Author's address

The length should not exceed more than 1 printed page.  The deadline
for sending Extended Abstract  will be on 31.7.1997. We recommend
sending in the abstract as a TeX-file  surname.TEX (preferably in
AMSTeX format) by e-mail or in a camera ready form. Participants will
receive Proceedings of extended abstracts after the registration.


The Proceedings of the conference will be published as a special
issue of the journal Acta Mathematica et Informatica Universitatis
Ostraviensis in 1998. The papers should be submitted in AMSTeX  or
Plain TEX or LATEX (as a file surname.TEX). The deadline for sending
the paper will be  on February 28, 1998. The author of a paper
accepted for publication will receive a free copy of the journal and
25 free reprints. All papers submitted for publication will be
reviewed. The participants will receive the detail information about
this publication.


As it was mentioned in the first announcement, the conference will
take place in a mountain centre "Ostravice" in a beautiful country
just under the highest peak of the Beskydy Mountains - Lys=DF hora. The
accommodation will be available in single and double rooms with
shower and WC. Participants may book a suitable type of accommodation
in advance. A swimming pool is available in the hotel premises.( See
the attached booklet.)  One afternoon or a day is due to be off for a
trip into the Beskydy countryside. The participants will receive (in
the third announcement) a detailed plan of the place the conference
will be held and the information about transport possibilities.


The conference fee is 70 DM (or equivalent in US$). It includes:
* conference materials,
* abstract proceedings,
* tea or coffee
* greeting party.
Exceptionally a participant may ask for reduction of the conference
fee or having free of charge.

Prices for accommodation with full board as follows:

1. Payment by  31 May, 1997
* single room  - 50 DM/day
* double room - 30 DM/day
2. Payment after  31 May, 1997
* single room - 60 DM /day
* double room - 35 DM/day

The participants are asked to fill in the attached form and reserve
an appropriate accommodation in advance. The deadline for sending the
Registration Form is on May 15, 1997.

The conference fee and accommodation is to be paid by a bank transfer
Czech National Bank, Ostrava
Bank account No.: 931-761/0710
variable symbol: 3419

Registration could be cancelled only in writing.  The registration
fee will not be refunded for cancelling after July 20, 1997.


May 15, 1997         -   deadline for sending Registration Form
May 31, 1997         -   deadline for payment of conference fee and
July  31, 1997         -   deadline for sending an Extended Abstract
of a talk
February 28,1998   -  deadline for sending the final form of a paper

Number Theory Conference,                         e-mail: CONF@OSU.CZ
Department of Mathematics
University of Ostrava
Br=DFfova 7
CZ-701 03 Ostrava 1
Czech Republic

Final announcement

13th Czech and Slovak International Conference on Number Theory

Central European
Colloquium on Number Theory

Ostravice (Czech Republic), Hotel Montér
September 1 - 5, 1997


University of Ostrava
Mathematical Institute of Slovak Academy of Sciences
Masaryk University,  Brno
Charles University,  Praha


The following mathematicians confirmed the participation

S. Akiyama (Japan)
P. Beaulieu (USA)
A. Berczes (Hungary)
Y. Bugeaud (France)
M. Bulant (Czech Republic)
J. Carter (USA)
A. Czogala (Poland)
K. Dilcher (Canada)
A. Dujella (Croatia)
M. Epkenhans (Germany)
H. Faure (France)
P. Filakovsky (Slovakia)
G. Frei (Canada)
P. Fuchs (Czech Republic)
A. Fujii (Japan)
I. Gaál (Hungary)
B. Gittenberger (Austria)
G. Grekos (France)
K. Gyory (Hungary)
L. Hajdu (Hungary)
J. Hanèl (Czech Republic)
T. Herendi (Hungary)
S. Jakubec (Slovakia)
A. Karatsuba (Russia)
M. Kida (Japan)
I. Korec (Slovakia)
J. Kostra (Czech Republic)
K. Kovacs (Hungary)
E. Kovalevskaya (Belarus)
R. Kuèera (Czech Republic)
E. Lamprecht (Germany)
G. Lettl (Austria)
S. Loubotin (France)
T. Luczak (USA)
K. Matthews (Australia)
R. Melham (Australia)
T. Metsankyla (Finland)
J. Moèkoø (Czech Republic)
W. Narkiewicz (Poland)
K. Nemoga (Slovakia)
B. Novák (Czech Republic)
M. Paštéka (Czech Republic)
S. Porubský (Czech Republic)
A. Rotkiewicz (Poland)
R. Sasaki (Japan)
A. Shannon (Australia)
T. Schoen (Poland)
A. Schinzel (Poland)
L. Skula (Czech Republic)
A. Sladek (Poland)
O. Strauch (Slovakia)
L. Szalay (Hungary)
K. Szymiczek (Poland)
T. Salát (Slovakia)
Y. Tanigawa (Japan)
J. Thuswaldner (Austria)
R. F. Tichy (Austria)
J. Tóth (Slovakia)
L. Toth (Romania)
S. Vostokov (Russia)
R. Winkler (Austria)


The conference will be open on Monday, 1st  September at 10.00 a.m., and
 closed on Friday, 5th  September. It is supposed that on Sunday, 
6th September, from 9.00 a.m. to 12.00 a.m. a Problem Section will be 

Monday, 1st September

10.00-10.30		Opening the conference
10.30-11.30		Plenary Session
11.30-12.30		Section A :  2 contributed talks
			Section B :  2 contributed talks
12.30-14.30		Lunch
14.30-15.30		Plenary Session
15.30-18.30		Section A : 4 contributed talks
			Section B : 4 contributed talks
18.30			Dinner
20.00			Welcome party

Tuesday, 2nd September

09.00-10.00		Plenary Session
10.00-12.30		Section A : 4 contributed talks
			Section B : 4 contributed talks
12.30-14.30		Lunch
14.30-15.30		Plenary Session
15.30-18.30		5 contributed talks
18.30                       Dinner

Wednesday,  3rd September

09.00-10.00		Plenary Session
10.00-12.00		Section A : 3 contributed talks
			Section B : 3 contributed talks
12.00-13.00		Lunch
13.00-18.00		trip into the Beskydy countryside (free afternoon)
18.30			Dinner
20.00			Party with typical country music

Thursday, 4th September

09.00-10.00		Plenary Session
10.00-12.30		Section A :  4 contributed talks
			Section B :  4 contributed talks
12.00-13.30		Lunch
14.00-15.00		Plenary Session
15.00-16.30		2 contributed talks
17.00                       Dinner
19.00-22.00		Opera performance  (Moravian and Silesian National                        Theatre,           
                        Ostrava) (Although a dark suite is not typical for
                        number theory conferences , it is suitable for 
                        this performance.)

Friday, 5th September

09.00-10.00		Plenary Session
10.00-12.30		Section A : 3 contributed talks
			Section B : 3 contributed talks
12.30-14.30		Lunch
14.30-15.30		Plenary Session
15.30-17.30		Section A : 3 contributed talks
			Section B : 3 contributed talks
17.30-18.00		Closing ceremony
18.30         		Dinner

The following invited plenary lectures are assumed to be presented 
(the rest of plenary lectures will be specified later):

W. Narkiewicz - Open problems in polynomial mappings
A. Schinzel - Prime divisors of  linear recurrences
L. Skula - Fermat Quotient for p-adic Integers
K. Szymiczek - Tame Hilbert - symbol equivalence
K. Gyory - On power values of binomial coefficients
A. Karatsuba - Additive congruences
R. F. Tichy - Solution of parametrized families of Thue equations
The following titles of contributed talks have been announced till the 
end of June, 1997.

Algebraic number theory
P. Beaulieu - Annihilating the Image of Scharlau
Y. Bugeaud - On the parity of the class number of the field Q((p,(q,(r))
J. Carter - Galois module structure of a nonabelian extension
M. Epkenhans - On vanishing theorems for trace forms
I. Gaál - Power integral bases in algebraic number fields
M. Kida - Reduction of elliptic curves over real quadratic fields 
E. Kovalevskaya - Stickelberger ideal, cirkular units, and the class 
number formulae involving  determinant
E. Lamprecht - Existence and computation of integral bases
G. Lettl - Galois module structure of algebraic integers
S.  Loubotin - CM-fields with cyclic ideal class groups of 2-power orders
T.  Metsankyla - Parity of the class numbers of real abelian fields
J. Moèkoø - Topological characterizations of po-groups with 
quasi-divisor theory
R. Sasaki - Arithmetic of modular function fields of degree two
A. Sladek - Higher degree Hilbert symbol equivalence

Analytic and Elementary Number Theory
S. Akiyama - Pisot numeration system, tiling, and infinite product
Y. Bugeaud - Lower bounds for axm + byn and its greatest prime factor
A. Dujella - Complete solutions of certain families of simultaneous 
Pellian equations
H. Faure - Discrepancy lower bound in dimension two
P. Filakovsky - On product of consecutive integers
A. Fujii - The zeros of the zeta function
I. Gaál - The moments of the sum-of-digits-function for complex bases
G. Grekos - Extremal problems about additive bases
K. Kovacs - On a generalization of a Theorem of Erdos
E. Kovalevskaya - The distribution of rational points near the smooth 
manifolds and the Hausdorf dimension
A. Rotkiewicz - On pseudoprime numbers
L. Szalay - On the diophantine equation (2n - 1)(3n - 1) = x2
Y. Tanigawa - On the mean square of the error therm in Rankin's problem
J. Thuswaldner - Fractal properties of canonical number systems
L. Toth - Asymptotic formulae concerning generalizations of Pillai's 
arithmetical function
R. Winkler - Sets of block structure and uniform distribution


The Proceedings of the conference will be published as a special issue of
the journal Acta Mathematica et Informatica Universitatis Ostraviensis in
1998. The papers should be submitted in AMSTeX  or Plain TEX or LATEX (as
a file surname.TEX). The deadline for sending the paper will be  on 
February 28, 1998. The author of a paper accepted for publication will 
receive a free copy of the journal and 25 free reprints. All papers 
submitted for publication will be reviewed. The participants will receive
the detail information about this publication during the conference.

As it was mentioned in the first announcement, the conference will take 
place in a mountain centre "Ostravice" in a Hotel Montér.  Due to the 
amount of single room accommodation requirements the accommodations will 
be provided in two hotels in the centre "Ostravice" (a shuttle transport 
between hotels will be available). The registration office will be at the
hotel "Montér" (see the booklet attached to the second announcement ).
After conference registration the participants will receive detailed 
information about the place of accommodation.


By plane:

Participants can use  domestic flights from Praque to Ostrava airport. 
Time of arrivals of these flights is :
August 30th  : 12.30, 20.00
August 31st  : 12.30, 22.40
September 1st  :  9.20, 12.30, 15.50, 20.00
A bus transport will be organized from the Ostrava airport to the hotel 
"Montér" starting from August 31st.

By train:

Participants can use any domestic or international train connection to 
Ostrava - Main Station. A bus transport from the Main Station will be 
organized on August 31st , from 8.00 a.m. to 8.00 p.m., and on September 
1st , from 8.00 a.m. to 2.00 p.m. , with a period 2 hours. Moreover, 
participants can use a local train from Ostrava-Main Station  to Ostravice
Rail Station. Time of departure of this local train is the following:

4.35, 5.10, 5.30, 6.13, 6.50, 7.50, 9.05, 10.00, 11.50, 13.19, 13.50, 
14.11, 15.02, 15.32, 16.20, 17.00, 17.51, 18.45, 20.00, 22.04 

Transport from Ostravice Rail Station to the hotel "Montér" will be 
provided on August 31st , from 8.00 a.m. to 6.00 p.m., and on September 
1st , from 8.00 a.m. to 2.00 p.m. , with a period 1 hour. (Hotel is 
located app. 20 minutes by walk from the station.)

By car:

See the attached map.


Under the request special sightseeing tours can be organized into 
different places in North Moravia region. The visit of opera performance 
in Ostrava City is available, as well.

Number Theory Conference,                      e-mail: CONF@OSU.CZ
Department of Mathematics
University of Ostrava
Bráfova 7
CZ-701 03 Ostrava 1
Czech Republic

From Thu Jan 15 18:54 EST 1998

  CERTICOM have recently announced a set of challenge
problems for elliptic curve cryptography.  These are a
set of discrete logarithm problems on elliptic curves
over finite fields of even characteristic or large odd
characteristic. Such curves have been proposed for use in
cryptography.  As yet it is not known which type of curves
provide the most security, those over F_p, F_{2^n} or Koblitz
type curves.

  INRIA/BT + Others have recently solved the smallest of these
(namely ECCp-79, ECCp-89 and ECC2-79) using code for use on Alpha's.
However to solve the larger problems a multi-platform approach will
clearly be needed.  To solve the larger problems will need the
type of computing power donated in the past to the factoring

  Using our experience with developing the multi-platform
LiDIA C++ library we (V. Muller, T.  Papanikolaou and
N. Smart) have written and extensively tested a piece of code
which you can run on your workstation or PC to help us break these
challenges. For those in the know the method used is that of tame
and wild kangaroos. However it uses the linear parallel speed up of
Van Oorschot and Wiener, plus some speed ups of our own invention. In
particular a much more statistically efficient random walk.

  We would like you to run the code on your machine. The code
will automatically email back the results to a server here at
Hewlett-Packard Laboratories, Bristol. Eventually enough work
will have been done to crack the discrete logarithm problem
for the challenges.

  The program, for which we supply both executables and source
code, can be run on your workstation with the command

   p.M_TYPE.x < data

where "data" is a file of data for the problem under consideration.
The process can be killed at any time, and it will clear up after
itself.  You can then run this however you want

  i) In the background (don't forget to redirect stdout though, or
     run the program in "quiet mode").

 ii) Overnight (just kill it when you come in and want 100%
     of your machine back)

iii) niced down.

  The choice, as they say, is up to you.

  The program will email results back to HP-LABS, and therefore
requires the presence of the program "mail". The executables
assume this is in the "standard place" for your OS. However
the source code's configure script will find this mail program
for you. If you have an Win NT/95 program then the program
will try and open a TCP/IP connection to our server and send
the results that way.

  If you have a stand alone computer then you can make the program
write to a file for seperate emailing of the results back to
HP Bristol.

  We are currently trying to solve the 97 bit example which should
take just over 100000 machine days for a top of the range Pentium Pro PC.
Hence the more machines which are contributing to this effort the better.
Our code has been tested and run on various machines and operating
systems.  If you manage have problems compiling it for your system
let us know and we can try and iron out any problems.

  If you are interested in helping us then please see the
WWWEB page,

  Thank you for your time.  Our aim is to stimulate interest and
research in elliptic curve cryptography.  If we win the prize we will
donate the money to charity.

Thank you for your time

Volker Muller
Thomas Papanikolaou
Nigel Smart

Nigel P. Smart                        |  mail:
Hewlett-Packard Laboratories          |  talk: +44 (0) 117 922 9338
Filton Road, Stoke Gifford            |  fax:  +44 (0) 117 922 9285
Bristol BS12 6QZ, U.K.

    *                                                           *     
    *                                                           *     
    *                 FIRST  ANNOUNCEMENT                       *
    *                                                           *     
    *                                                           *     
    *                                                           *     
    *                                                           *     
    *            JOURNEES  ARITHMETIQUES  1999                  *
    *                                                           *     
    *                   12 - 17 JULY  1999                      *
    *                                                           *     
    *                      ROME, Italy                          *
    *                                                           *     
    *                                                           *     
    *                                                           *     
    *         Pontificia Universitas Lateranensis               *
    *                                                           *     
    *                      Vatican City                         *
    *                                                           *     
    *                                                           *     
    *                                                           *     
    *                                                           *     

Conference on Number Theory and Discrete Mathematics

Sender: Number Theory List 
From: Michel Waldschmidt 
To: Multiple recipients of list NMBRTHRY 

               Tiruchirapalli, January 3-6, 1996

The Ramanujan Mathematical Society will be celebrating its tenth
anniversary in 1996.  It gives us great pleasure to invite you to
attend an international conference on Number Theory and Discrete
Mathematics which is being organized for this occassion.

The conference will take place January 3-6, 1996 in the South
Indian city of Tiruchirapalli. The Number Theory component will
consist of four invited one-hour talks by

D. Brownawell (Penn State University)
H. Iwaniec (Rutgers University)
D. Prasad (Mehta Research Institute)
D. Ramakrishnan (California Institute of Technology)

In addition, the following have agreed to give half-hour special
session talks:

K. Alladi, R. Balasubramanian, D. Bertrand,  S. David,
J.-M. Deshouillers, J.-L. Colliot-Thelene, F. Diamond, H. Darmon,
J. Friedlander, K. Joshi, C. Khare, G. Lachaud, R. Murty,
V. Platonov*, A. Rapinchuk*, W. Schmidt, T. N. Shorey, S. Srinivasan,
A. Srivastav, C. Stewart D. Thakur, J. Tilouine, J. Yu

Registration for the conference is US$200 if paid before
October 31, 1995 and US$250 after this date.  (For members of the
RMS, the registration is US$150 if paid before the above date.)
This registration fee covers accomodation and meals during the

To register, please write to Prof. R. Balakrishnan, Department of
Mathematics, Annamalai University, Annamalainagar 608-002, INDIA.
The registration fee should be sent by international money order
and made payable to Ramanujan Mathematical Society.

Unfortunately, the conference does not have funds to support
international travel.   We hope that you will be able to find your
own funds.  If for this (or any other) purpose you require a hard
copy of this invitation, please let us know.

In addition to the conference,  one can take the opportunity to
visit other research institutes in the area such as the Institute
of Mathematical Sciences in Madras and the Spic Science Foundation
(also in Madras), the Mehta Research Institute in Allahabad, and
the Tata Insitute of Fundamental Research in Bombay.

Yours sincerely,

V. Kumar Murty, University of Toronto ( )
Michel Waldschmidt, Universite de Paris VI (
Number Theory Programme Committee

    *                                                           *     
    *                                                           *     
    *                 FIRST  ANNOUNCEMENT                       *
    *                                                           *     
    *                                                           *     
    *                                                           *     
    *                                                           *     
    *            JOURNEES  ARITHMETIQUES  1999                  *
    *                                                           *     
    *                   12 - 17 JULY  1999                      *
    *                                                           *     
    *                      ROME, Italy                          *
    *                                                           *     
    *                                                           *     
    *                                                           *     
    *         Pontificia Universitas Lateranensis               *
    *                                                           *     
    *                      Vatican City                         *
    *                                                           *     
    *                                                           *     
    *               E-mail:                *     
    *                                                           *     

Message from Paulo Ribenboim

Recently, we have published some books of interest.

Series:  Queen's Papers in Pure and Applied Mathematics

Vol. 107 - Collected Papers of Norman Alling
  	    Edited by Paulo Ribenboim
	    (to appear March, 1998) $50.00

Vol. 106 - Representations of Affine Lie Algebras
    	    by Vyacheslav M. Futorny $35.00

Vol. 105 - The Curves Seminar at Queen's - Volume XI
	    Edited by Anthony V. Geramita $30.00

Vol. 104 - The Collected Papers of Paulo Ribenboim
	    (7 volumes, each about 550 pages) $450.00/per set

Vol. 103 - Collected Papers of Giacomo Albanese
	    Edited by Ciro Ciliberto, Paulo Ribenboim &
	    Edoardo Sernesi, $50.00

Vol. 102 - Curves Seminar at Queen's Volume X 
	    Edited by Anthony V. Geramita $50.00

Vol. 101 - Collected Papers of Ruggiero Torelli
	    Edited by Ciro Cilberto, Paulo Ribenboim &
	    Edoardo Sernesi, $50.00

Vol. 100 - Italian Algebraic Geometry Between the Two 
	    World Wars, 95
	    by Aldo Briglia and Ciro Ciliberto, $50.00

Vol.  99 - Collected Papers of Pierre Samuel
	    Edited by Paulo Ribenboim, (2 volumes) $100.00

Vol.  97 - Collected Papers of Santoshi Suzuki
            Edited by Paulo Ribenboim, $45.00

Vol.  95 -  The Curves Seminar at Queen's - Volume IX
	     Edited by Anthony V. Geramita, 200 pages, $20.00

Vol.  94 -  Modern Trends in Lie Algebra Representation Theory
   	     (Conference Proceedings), Edited by Vyacheslav M. Futorny
	    & David Pollack, 92 pages $15.00

Vol.  93 -  The Stickelberger Ideal in the Spirit of Kummer with
	     Application to the First Case of Fermat's Last Theorem
	     by Vijay Jha, 181 pages, $20.00

Vol.  92 -  Arithmetical Composition of Quadratic Forms
	     by Anatoli N. Andrianov, $10.00

Vol.  91 -  Collected Papers of Kustaa Inkeri
	     Edited by Paulo Ribenboim, $50.00

Vol.  90 -  Multiplicatve Ideal Theory
	     By Robert Gilmer, 609 pages, $50.00

To order, give Series, Number, Author and Title.  Postage will be
added to the price, which is in Canadian dollars.

Contact:  The Campus Bookstore
          Attention: Rose
	  Queen's University
	  Kingston, Ontario, Canada
	  K7L 3N6 

	  Orders also accepted by phone:
	  1-800-267-9478 and by fax: 1-613-545-6419

The Campus Bookstore email address is:

The Website address is:

A complete list of the volumes available can be viewed at the 
website address or obtained upon request.


                Reed College, Portland, Oregon, USA

              June 21 (Sunday) - 25 (Thursday), 1998

Information on ANTS III, and a registration form for the conference,
are given below.  More precise information (e.g., a complete schedule 
of talks) will be available in a week or two and will be posted on the
conference web page (, mailed to the number
theory mailing list, and mailed to registrants.


The tentative schedule of the conference is:

    Saturday (June 20): opening banquet on campus, 7 pm
    Sunday-Wed: talks beginning at 9am, two morning and two
      afternoon sessions, ending somewhat early on Monday
      and Wednesday
    Monday evening: Banquet at the Oregon Historical Society
    Thursday: Morning talks only.

If there is sufficient interest, there will be an organized hike 
Thursday afternoon; similarly there may be an excursion to Multnomah 
Falls on Wednesday morning (in which case the talk schedule will
be adjusted accordingly). Information on these possibilities will be 
forthcoming in the final conference announcement.

There are three invited speakers:

    Dan Boneh, Stanford University: "The Diffie-Hellman Decision Problem"
    Noam Elkies, Harvard University: "Shimura Curve Computations"
    Andrew Granville, University of Georgia: TBA

There are approximately 45 contributed talks, each lasting 20 minutes.
The list of all of those accepted papers is included below.  

The program committee for this ANTS conference is: Eric Bach, 
Johannes Buchmann, Joe Buhler, Henri Cohen, Neal Koblitz, Bjorn Poonen, 
Rene' Schoof.


It is a 20-30 minute drive from the Portland airport to the campus, 
and a 30 minute shuttle ride from airport to the hotel.  An attempt will 
be made to provide a van to take people from the airport to the dorms 
(if you want to avail yourself of this, we need to know your arrival 
time!).  There is a shuttle bus to the hotel (see below).

If you are driving then cursory maps will be available on the web page
when it is updated in the next few days.  Roughly speaking, Reed
College is located in the southeast (mostly residential) part of
Portland, and is about a 15 minute ride from downtown.


The conference hotel is the downtown Days Inn, located at
1414 S.W. Sixth.  Their phone number is (503)221-1611, their fax 
number is (503)226-0447, and their email address is  Mention the ANTS conference (or Reed 
College) when you register.  They are happy to take registrations 
by email.  There is a somewhat limited number of rooms.  The rooms 
are $79 per night for one (queen) bed in the room, or $94 for a 
room with two beds.  Raz Transportation (the Big Blue Bus) picks 
people up at the shuttle area at the airport and drops them off at 
several downtown hotels, including the Days Inn; it costs $9. 

The on-campus dorms are new, and quite pleasant.  The cost is
$45 per night, including food.  For a one-time cost of $10 you can get 
get a phone connected in your room (local calls only, though you can
access long distance via a credit card).  For a one-time cost of $10
you can get a direct internet connection in your room.  (Though this 
isn't particularly necessary, unless you like to read email or
compute in absolute privacy, since a campus computing center will
be open all hours; the center contains Power Macs that have internet
access via telnet and also run Linux.)

The advantage of the hotel is that it is located downtown, where there
are lots of restaurants, bookstores, etc.  The advantage of the dorm 
is that it is less expensive, and doesn't require any further 
transportation.  There are also numerous other hotels in downtown 
Portland, should the Days Inn fill up.


We anticipate that we will receive financial support from:

   Reed College
   National Science Foundation
   National Security Agency.

We expect to be able to provide support for on-site expenses (dorm,
food, registration) for some graduate students and younger mathematicians
without other sources of support, and possibly some travel expenses
for graduate students.  If you are interested, please apply on
the registration form below (including amounts of other sources of


There are so many things to do in Portland that it is impossible
to list them all, and probably unwise to organize entertainment.
Here are several events that require advance planning on your
part (e.g., a mention on the registration form below).

The Portland Art Museum has a ``Splendors of Ancient Egypt'' exhibit,
and reservations are advisable.   (See

On Monday evening (June 22) there will be a chamber music concert on
campus (Stravinksy, Ravel, Dvorak).  Prices range from $15 to $27, but
the concert will surely be sold out, so advance registration is a
must. (See

World Cup Soccer (football) will be taking place the week of the 
conference.  If there are enough people that have to see these games 
then we will arrange for cable TV in the dorms; if you are in this 
category, please indicate this on the registration form.

There are numerous opportunities for hiking, sightseeing, mountain-climbing,
and beachcombing not too far from Portland.  If there is interest, there will 
be an organized hike on Thursday afternoon.  It is conceivable the
the schedule will be altered to allow an excursion to a local waterfall
Wednesday morning.

The weather in Portland at that time of year is likely to have highs
around 72F (22C) and lows around 55F.  Late June is approximately the 
boundary between early summer (often intermittently rainy, especially in 
an El Nino year), and mid to late summer (dry and hot), so the weather 
is a bit chancy.


Finally, the registration form.  Your prompt attention to this detail
will of course make life easier for the organizers.   Please fill it
out and return to either: Joe Buhler ( or 
Cathy D'Ambrosia (  There is no need to
send a deposit now.

The registation fee is $75; it covers: the Monday banquet, morning 
and afternoon refreshments, and a copy of the Springer Lecture Notes
in Computer Sciences (which is currently on schedule to be available
at the conference as volume 1423).

******************** cut here and mail or email! ************************





Are you a graduate student?

Are you staying in the dorm?  If so, which days?

Are you going to rent a car?  (We would like to know in order to adjust
the number of vans reserved accordingly.)

Miscelleneous (responses to queries above):

******************************* cut here ********************************


If you have questions, you might find the answer on the web page within
a week or so, but you're more likely to get a direct answer by emailing
or calling one of us:

    Joe Buhler
    Cathy D'Ambrosia  (503)777-7710.

  Daniel J. Bernstein 
   Bounding Smooth Integers 

  Toni Bluher 
   Formal Groups, Elliptic Curves, and Some Theorems of Couveignes

  Dan Boneh, Jeremy Horwitz 
   Generating a Product of Three Primes with an Unknown Factorization

  Giovanni Cesari 
   Parallel Implementation of Schonhage's integer GCD algorithm

  Henri Cohen, F. Diaz y Diaz, M. Olivier 
   Computation of Relative Quadratic Class Groups 

  Henri Cohen, F. Diaz y Diaz, M. Olivier 
   Imprimitive Octic Fields with Small Discriminant

  Henri Cohen, F. Diaz y Diaz, M. Olivier 
   A Table of Totally Complex Number Fields of Small Discriminants

  Bart de Smit 
    Generating Arithmetically Equivalent Number Fields with Elliptic Curves 

  Erik De Win, Serge Mister, Bart Preneel, Michael Wiener 
   On the Performance of Signature Schemes based on Elliptic Curves

  Jean-Marc Deshouillers, Francois Hennecart, Bernard Landreau   
   Do Sums of 4 Biquadrates have a Positive Density?

  J-M. Deshouillers, Yannick Saouter, Herman te Riele
   New Experimental Results Concerning the Goldbach Conjecture

  Z. Djabri, Nigel Smart
   A Comparison of Direct and Indirect Methods for Computing Selmer
        Groups of an Elliptic Curve

  David S. Dummit, Brett A. Tangedal 
   Computing the Lead Term of an Abelian L-function

  William Galway 
   Robert Bennion's ``Hopping Sieve''

  Alice Gee, Peter Stevenhagen
   Generating Class Fields using Shimura Reciprocity

  Dan Gordon, Gene Rodemich 
   Dense Admissible Sets

  Bruno Haible, Thomas Papanikolaou
   Fast Multiprecision Evaluation of Series of Rational Numbers

  Jeffrey Hoffstein Jill Pipher, Joseph H. Silverman 
   NTRU: A Ring-Based Public Key Cryptosystem

  Joshua Holden 
   Irregularity of Prime Numbers over Real Quadratic Fields

  Ming-Deh Huang, Yiu-Chung Wong 
   An Approximation Algorithm for Counting Points on Algebraic Sets
       over Finite Fields

  Michael J. Jacobson, Jr. 
   Experimental Results on Class Groups of Real Quadratic Fields

  John Jones, Dave Roberts 
   Timing Analysis of Targeted Hunter Searches

  Stephane Louboutin 
   Computation of Relative Class Numbers of Imaginary Abelian
         Number Fields

  Jacques Martinet 
   On Successive Minima of Rings of Algebraic Integers

  Preda Mihailescu 
   Cyclotomy Primality Proving --- Recent Developments

  Zhang Mingzhi 
   Factorization of Numbers of the Form $m^3+c_2m^2+c_1m+c_0$

  Francois Morain 
   Primality Proving Using Elliptic Curves: an update

  Brian Murphy 
   Modelling the Yield of Number Field Sieve Polynomials

  Stefan Neis 
   Reducing Ideal Arithmetic to Linear Algebra Problems

  Phong Nguyen 
   A Montgomery-like square root for the number field sieve

  Harald Niederreiter, Chaoping Xing 
   A General Method of Constructing Global Function Fields with 
        many Rational Places

  Daniel Panario, Xavier Gourdon, Philippe Flajolet 
   An Analytic Approach to Smooth Polynomials over Finite Fields

  Sachar Paulus 
   Lattice Basis Reduction in Function Fields

  Sachar Paulus, Andreas Stein 
   Comparing Real and Imaginary Arithmetics for Divisor Class Groups
         of Hyperelliptic Curves

  A. Petho, E. Herrmann, H.G. Zimmer
   S-integral Points on Elliptic Curves and Fermat's Triple Equations

  Renate Scheidler, Andreas Stein 
   Unit Computation in Purely Cubic Function Fields of Unit Rank 1

  I. A. Semaev 
   Evaluation of Linear Relations Between Vectors of a Lattice in Euclidean

  Jonathan Sorenson 
   Trading Time for Space in Prime Number Sieves

  Andreas Stein, Hugh C. Williams 
   An Improved Method of Computing the Regulator of a Real Quadratic
       Function Field

  Edyln Teske 
    Speeding up Pollard's Rho Method for Computing Discrete Logarithms

  Edlyn Teske, Hugh Williams 
   A Problem Concerning a Character Sum

  Brigitte Vallee 
   The Complete Analysis of the Binary Euclidean Algorithm

  Alf van der Poorten 
   Formal Power Series and their Continued Fraction Expansion

  Susanne Wetzel 
    An Efficient Parallel Block-Reduction Algorithm

  Adam Young, Moti Yung
   Finding Length-3 Positive Cunningham Chains and their Cryptographic

  Robert Zuccherato 
   The Equivalence Between Elliptic Curve and Quadratic Function Field
         Discrete Logarithms in Characteristic 2


Preliminary Announcement

The Candian Number Theory Association (CNTA) was founded in 1987
at the International Number Theory Conference at Laval University. 
The purpose of the CNTA is to enhance and promote learning and research
in Number Theory, particularly in Canada where we already have a great 
deal of strength in this area.
To advance these goals the CNTA has already organized five major 
international conferences, which have succeeded in exposing many 
Canadian students, faculty and researchers to the latest ideas in
number theory worldwide, and provided further opportunities for Canada's
best and brightest to exhibit their talents and ideas to a global audience. 
The previous meetings have been held in Banff (1988), at the University 
of British Columbia (1989), Queen's University (1991), Dalhousie
University (1994), and Carleton University (1996). All of these 
conferences have been acclaimed by the international number theory 
community for the high quality of the scientific program, as evidenced 
by the excellence of the speakers and the diversity of topics presented. 
During the most recent meeting of the CNTA it was decided to hold the 
next meeting in 1999 in Winnipeg; this is in keeping with the objectives 
of the CNTA in that the conferences have been and will be held in 
different regions of the country.

Topics:  All aspects of number theory.

Location of Meeting:

The Delta Winnipeg Hotel in downtown Winnipeg. Winnipeg is a city with a
population of more than 600,000 and is served by several airlines including
Air Canada, Canadian Airlines International and North West. During June the
weather is pleasant with day temperatures averaging 20 degrees C 
(~ 70 degrees F).
Winnipeg is the home of the world famous Royal Winnipeg Ballet and has its 
own Symphony Orchestra. Winnipeg also has an IMAX Theatre, an Art Gallery, 
a Planetarium, a Theatre Center and many museums. Other attractions include 
the Royal Canadian Mint, Assiniboia Downs (race track), The Forks, European 
Style Casino, a variety of restaurants and many attractive parks.

Time of Meeting:

June 20-24, 1999

Format of CNTA '99:

   Length of meeting:

4 and 1/2 days with one afternoon free

   Schedule for each full day:

               Plenary speaker
               3 Invited Speakers (40 minutes each)
  12:30- 2:00PM
   2:00- 3:00PM
               Plenary speaker
   3:00- 5:00PM
               Contributed talks

Invited Speakers:

Mike Bennett (IAS)
Frits Beukers (Utrecht)
Andrew Bremner (Arizona State)
David Bressoud (Macalester College, MN)
Henri Darmon (McGill)
John Friedlander (Toronto)
Jon Grantham (Georgia)
Hershy Kisilevsky (Concordia)
Manfred Kolster (McMaster)
Hendrik W. Jenstra, Jr. (Berkeley)
Loic Merel (Paris)
Andrew Odlyzko (A T&T labs, NJ)
Ken Ono (Penn State)
Bjorn Poonen (Berkeley)
Damien Roy (Ottawa)
Peter Sarnak (Princeton)
Wolfgang Schmidt (Colorado)
K. Soundararajan (Princeton)
Glenn Stevens (Boston U.)
Scott Vanstone (Waterloo)
Trevor Wooley (Michigan, Ann Arbor)


Jon Borwein (Simon Fraser)
David Boyd (UBC)
Chantal David (Concordia)
Ram Murty (Queen's)
Cam Stewart (Waterloo)
Hugh Williams (Manitoba)


Centre de Recherches Mathématiques (CRM)

The Fields Institute for Research in Mathematical Sciences

Further Information:

Hugh Williams
Program Chair
Dept. of Computer Science
University of Manitoba
Winnipeg, MB R3T2N2
Tel: (204) 474-6574
Fax: (204) 474-7609

Roger Apèry

Roger Apèry.

        Professor Roger Apèry, a prominent figure 
of the University of Caen (France),passed away after a 
prolonged illness on December 1994.
        Roger Apèry was born in ROUEN in 1916 of a
mother of Flemisch origin and a  Greek father who had 
volunteered to serve in the French army
in 1914 in order to obtain French nationality.
        After brilliant studies at the "Lycee Louis Le Grand" 
where he distinguished himself several times in the 
"Concours general", Roger Apèry was placed second 
among entrants at the ENS in 1936 and came first at the
"Agregation de Mathématiques".
        Called up for the army in 1939 and a prisoner 
of war in June 1940, he was released in October 1941 
for health reasons. Appointed assistant lecturer at 
the Sorbonne in 1942, he joined a group of ENS students
in the French Resistance and became the leader of the 
National Front at the ENS.
        In 1947 he defended his thesis in algebraic 
geometry "a l'italienne" under the supervision of 
Paul Dubreil and was appointed Lecturer at Rennes
(the youngest ever in France).  From 1949 until he 
retired in 1986, Roger Apèry was a Professor 
at the University of Caen where he created a research
team on algebra and number theory.
        At the end of his career in 1977, he made a 
sensational discovery which was to make his name 
famous throughout the world. His proof of the
irrationality of the sum of the inverse of the 
cubes of integers by an exceptionally clever method 
worthier of his Greek ancestors than of Bourbaki,
made him a legend.
        In addition to a keen sense of provocation, 
Roger Apèry enjoyed playing the piano - 
his mother had taught him, chess, philosophy and
politics.  Having joined the Camille Pelletan Radical 
Party at a young age after the riots of 1934, 
he resigned after Munich. Then, at the end of the
war, he once again became an active party member 
with Pierre Mendes-France.  
        As president of the Calvados Radical Party 
in the 60's he remained active in politics until 
May 68. Being opposed to the reforms instituted
after 68 by Edgar Fauré, he abandoned 
political life when he realized University life 
was running against the tradition he had always upheld.

        Many researchers have worked with the 
so-called Apèry sequences to rediscover 
his proof of the irrationality of Zeta(3) 
(See H.Cohen, A. Van Den Poorten, E.Reyssat, 
F.Beukers, M.Prevost), to generalize his recurrence
relation in connexion with Numerical Analysis 
and Orthogonal Polynomials (R.Askey, J.A. Wilson, 
A.L.Schmidt) or to study the congruence properties
of Apèry  numbers (P.T.Young, Y.Mimura, 
I.Gessel, S.Chowla).
(From a text by Y. Hellegouarch).


Contents of The Riemann Conjecture, (Ed. Takeshi Kano), Nihon Hyoronsha 1991 Chapter 1 Outline 1. Riemann`s motivation and intention 2. Historical development Chapter 2 Riemann`s original paper and explanation 1. Original paper 2. Draft of the letter from Riemann to Weierstrass Chapter 3 Calculating numerical values concerning the zeros of zeta functions 1. History of calculation 2. Investigating the zeros on line sigma=1/2 3. Sum formulae of Euler-Maclaurin 4. Approximate forumula for Xi(t) 5. Approximate formula for Zeta(t) 6. Calculating the value of Z(t) when t is small and the method of counting N(t) 7. Riemann-Siegel formula 8. Research on the distribution of the zero point when t is large Chapter 4 Equivalence proposition to the Riemann conjecture 1. Analytical number theory onwards 2. Functional analysis onwards 3. Scattering theory of automorphic functions 4. An approach using the diffusion process Chapter 5 Conclusions from the Riemann conjecture 1. The divisor problem and the Lindelof conjecture 2. Moser`s space theory 3. Explicit formula and their application (Disproof of Merten conjecture) Chapter 6 Various expansions of zeta functions 1. Dirichlet series and Dirichlet L-functions 2. Dedekind zeta functions 3. Epstein zeta functions Chapter 7 The Weil-Deligne Theory 1. Weil`s results 2. Finite forms of algegbraic geometry 3. Algebraic variety of congruent zeta functions Z(u,X) 4. Proof by Deligne and Riemann-Weil conjecture 5. Application(s) of Weil-Deligne Theory Contributing mathematicians Chapter 1 Ken Kano Chapter 2 Mikihito Hirabayashi Chapter 3 Gousuke Yamano Chapter 4 Shigeru Kanemitsu Chapter 5 Shigeru Kanemitsu Chapter 6 Kenichi Yoshino Chapter 7 Youichi Koyama







The 2000 Seaway Number Theory Conference will be held at the Syracuse University on Friday and Saturday, May 5 and 6, 2000. We will meet at 9:30 am on Friday in Room 313 Carnegie Hall to draw up a schedule of talks. If you would like to attend, please respond by e-mail or phone to

Prof. Jeff Meyer

(315) 443-1479



Please indicate if you would like to give a talk.


If you wish to give a talk, please

1) indicate how long you would like to speak,

2) send a title, if you have one and

3) send a short abstract, if you have one.




A block of rooms is being held at the Genesee Inn until April 15, 2000. To make a reservation call 1-800-365-4663 toll free and identify yourself with the Seaway Number Theory Conference or Syracuse University Mathematics department. Rooms with one queen-size bed are $79 and rooms with two double beds are $99. The Genesee Inn is about 4 blocks from the conference site.
There are other motels within driving distance of Syracuse University.
Directions and parking information will follow in the second announcement.




4th July 2001.
Two weeks ago, there was a conference:
   "Two Hundred Years of Number Theory after
    Carl-Friedrich Gauss's Disquisitiones Arithmeticae"
in Oberwolfach. 
For those who are interested, here's the list of lectures.

Franz Lemmermeyer

Oberwolfach, 17.06. - 23.06.2001 
Two Hundred Years of Number Theory after 
Carl-Friedrich Gauss's Disquisitiones Arithmeticae

     Catherine Goldstein, Paris
     Norbert Schappacher, Strasbourg
     Joachim Schwermer, Wien

H. Edwards: Section Five of the DA and the foundation of
    mathematics.  On Gauss's composition of forms and a 
    modern interpretation in terms of modules. Kneser 
    mentions an article of his on an interpretation of 
    composition in terms of Clifford algebras.

R. Boelling: A known unknown manuscript of Kummer (German).
   It is known that Kummer proved that Z[zeta_5], the ring 
   of integers in the field of fifth roots of unity, is 
   Euclidean with respect to the norm (letters to 
   He also remarked that he could do the same for Z[zeta_7], 
   but this paper never materialized until it was 
   discovered recently by Boelling. 

H. Wussing: Implicit group theoretical methods in the DA 
   (German) Wussing showed how many results in the DA are 
   proved using methods that work in general abstract 
   (finite) groups.

P. Piazza (lecture given by Schappacher): Gauss's influence 
   on Zolotarev.
   Explanation of Zolotarev's foundation of `ideal theory'
   using local methods.

H. Pieper: Network of knowledge (German)
   A lecture on how Humboldt influenced German mathematics 
   in the 19th century by supporting talented young 
   mathematicians (Jacobi, Dirichlet, Eisenstein, ...)

C. Houzel: Elliptic functions and number theory.
   The development of elliptic functions, complex 
   multiplication, theta functions etc. starting from 
   Gauss's cryptic remark on the division of the lemniscate 
   in the DA.

T. Masahito: A program for solving the twelfth problem 
   of Hilbert.  Connection between Hilbert's 12th 
   (construction of class fields using transcendental 
   functions) and Gauss's DA. 

O. Neumann: The impact of Gauss's DA on the theory of 
   solvability of equations by radicals.
   On how Gauss's solution of (x^p-1)/(x-1) = 0 inspired 
   Abel and Galois. 

H. Koch: The theory of algebraic number fields in the period 
   1930-1952. Explained several periods in the development 
   of class field theory; 
   1. introductory (collecting material) 
   2. basic  
   3. heroic 
   4. simplifications 
   5. theory becomes introductory for a new one.
   The period 1930-1952 was the period of simplification 
   and reformulation (Brauer group, Tate cohomology). 

S.J. Patterson: Gauss sums
   Proofs of the sign of quadratic Gauss sums from Gauss 
   to Hecke; connections with modern results.

C. Goldstein: Charles Hermite: A second reading of Gauss 
   in France. Legendre, Germain, Poinsot, Lagrange, 
   Cauchy read the French translation of the DA, 
   but mostly sections I and VII. Only Hermite, in the 
   1840's, started to seriously develop results
   from section V on quadratic forms. 

D. Fenster: A look at the reception of Gauss's DA in America.
   (Geography of the USA in 1801 and the development of 
   American mathematics starting with Sylvester); 
   discussion of the contributions by Dickson. 

J. Ferreiros: [o theos arithmeizei] - the rise of pure 
   mathematics as arithmetic after Gauss.
   Arithmetization of mathematics starting with Gauss, 
   connections with the philosophy of Kant.

A.M. Decaillot: Remarkable observations on numbers in 
   the AFAS (German) On the history of the AFAS 
   (Association Francaises pour l'Avancement des Sciences); 
   problems by Lucas (connected with quadratic residues)
  and Cantor (Goldbach conjecture).

J. Boniface: On the influence of Gauss's DA on Kronecker's 
   view of mathematics (German)
   Arithmetization of analysis, concept of numbers. 

N. Schappacher: What is arithmetization?
   Discusses the many facets of the word "arithmetization" 
   during the last two centuries. 

R. Haubrich: Gaussian number theory and algebraic number 
   Classification of number theory in the 19th century:
   Gaussian number theory - congruences and forms. 
   Gauss's views on what number theory is (is cyclotomy 

F. Lemmermeyer: On the development of the Principal 
   Genus Theorem - Traces of the PGT in works of Euler; 
   the proof of the PGT in the DA; generalizations by 
   Kummer in his proof of the reciprocity law; 
   Dirichlet's genus theory; 
   Emmy Noether's formulation in cohomological language.

J. Schwermer: On the composition of quadratic forms
   Short talk on Kneser's paper that came up in Edwards'

G. Frei: Section VIII of the DA and the theory of function 
   fields.  Section VIII of the DA (published posthumously
   in the German translation of the DA) contains a theory 
   of function fields in one variable over finite fields, 
   later rediscovered by Galois, Serret, Schoenemann and 

J. Schwermer: Raeumliche Anschauung in the work of Minkowski
   Gauss suggested in 1840 to study quadratic forms using 
   lattices; this was taken up by Dirichlet and later by 
   Minkowski. Connections with reduction theory for 
   algebraic groups in today's research.

                Analytic Number Theory

            A meeting in honour of Richard Hall

Richard Hall retired at Easter this year. 
The Department of Mathematics at the University
of York, supported by the London Mathematical Society,
is hosting a one-day meeting to celebrate Richard's 
mathematical work on Friday 5 October 2001, in 
Wentworth College, University of York. 
The programme is as follows: 

11.0 Exhibition area
11.30 Room W/203
		Heini Halberstam: Sparse sieves
12.15 Room W/203
           G\'erald Tenenbaum: Mean values of certain 
           multiplicative functions over friable numbers
1.00 Exhibition area
2.00 Room W/203
           Bob Vaughan: A generalised divisor problem
2.45 Room W/203
           Roger Heath-Brown: 
           Arithmetic progressions of sums of two squares
3.30 Exhibition area
4.00 Room W/203
           Christopher Hooley: The expression of a number
           in the form a_1X_1^2+a_2X_2^2+a_3X_3^2+a_4W^l
4.45 Room W/203
           Walter Hayman: 
        On successive zeros of the Riemann zeta function

5.30 The meeting will close and Wentworth bar will be open.

7.30 Exhibition area

There will be a registration fee of GBP10, 
and dinner will cost GBP20 (including wine). 
For further details contact Tony Sudbery at the
Department of Mathematics, University of York, 
Heslington, York YO10 5DD


There is a block of 90 rooms being held at the Banff Center
for the upcoming conference in honour of Hugh Williams, but
the block is being held only until March 26. After that date, 
the rooms will be given to other functions at the Banff Center.
If you plan on attending the conference, and staying on site,
it is recommended that a reservation be made before this date.
The reservation forms are on the conference webpage, and so is 
an updated conference schedule at
Gary Walsh

                    VORONOI CONFERENCE

    On Analytic Number Theory  and Spatial Tessellations

 1. General Information

 The Institute of Mathematics of the National Academy of
Sciences of Ukraine (NASU), the T. Shevchenko Kyiv
National University,  the M. Gogol Nizhyn State Pedagogical
University, the Ukrainian International Committee for Science
and Culture of the NASU, and the Ukrainian Mathematical 
Society would like to announce the Third Voronoi Conference
on Analytic Number Theory and Spatial Tessellations to be
held in Kyiv from September 22 to 28, 2003. September 22 is
the arrival day.

 The Conference  will  be  organized  in honour of  the
eminent Ukrainian Mathematician Georgy Voronoi (1868-1908)
who was born in  Zhuravka, a small village some 160 km east of
Kyiv. The Conference will take place in Kyiv at the Institute of
Mathematics of the NASU and at the National University. The
organizing committee will make all efforts you could enjoy your
stay in Kyiv.

Anatolij Samoilenko (Ukraine), Chairman,
Peter Engel (Switzerland), Vice-Chairman,
Halyna Syta (Ukraine), Secretary;
Tatiana Karataeva,  Vasyl Ostrovskyi, Natalia Ryabova,
Anatolij Serdyuk,  Halyna Shvets,  Yaroslav Vynnyshyn,
Irina Yegorchenko - Institute of Mathematics of the NASU;
Mykola Perestyuk, Mykola Nazarenko, Andrij Yurachkivs'kyi
- Kyiv Shevchenko National University;

Vasyl Yakovets - Nizhyn Pedagogical University.

Conference Address:
            Voronoi Conference
            Dr. H.Syta
            Inst. of Mathematics Nat. Acad. Sci. Ukraine
            Tereshchenkivska Str.,3
            01601, Kyiv-4,    Ukraine

E-mail: or

The Conference  will include the following  sections:

  1.  Number Theory;
  2.  Voronoi Method of Summation of Divergent series
      and Integrals;
  3.  Probability Models for Voronoi Tessellations;
  4.  Lattice Packings;
  5.  Applications of Voronoi Diagrams.

 The members of the Program Committee responsible for
the corresponding sections include:

1. Antanas Laurincikas (Lithuania),  Andrzej Schinzel (Poland),
   Anatolij Kochubei (Ukraine);
2. Liliya Boitsun (Ukraine), Myroslav Gorbachuk (Ukraine);
3. Chiu Sung Nok (Hong-Kong), Igor Kovalenko (Ukraine);
4. Peter Engel (Switzerland), Robert Erdahl (Canada),
   Sergei Ryshkov (Russia), Volodymyr Sharko (Ukraine);
5. Christopher Gold (Canada), Masaharu Tanemura (Japan),
   Yaroslav Yatskiv (Ukraine).

 Participants should make their own travel arrangements
to Kyiv. A Conference bus will transfer participants from the
Airport or Railway Station to the Institute of Mathematics 
of the NASU.

 All participants will be accommodated in nearby hotels
of different categories of their choice.

 The scientific program consists of full and short lectures. 
Full lectures of 45 minutes will be given in the morning session.
Short lectures of 20-30 minutes will be held in parallel sessions
in the afternoon. Overhead projection facilities will be available.

 Abstracts should be submitted in English until May 12, 2003.
Abstracts will be distributed at the beginning of the Conference.

In the evening of the arrival day, Monday, September 22, an
informal come-together meeting will take place. In the afternoon
of Thursday, September 25, the conference excursion to the
historical monuments of golden Kyiv will be organized.
The conference banquet will take place in the evening of Friday,
September 26.
For accompanying persons sightseeing tours to Kyiv and
its surroundings will be organized each day at a low price.

 From September 27 to 28, conference participants have the
possibility to take part in a two days' after-conference excursion
to Zhuravka, the native-place of Georgy Voronoi and his
burial-place, and to ancient Chernigiv and Nizhyn, staying the
night in the City Hotel in Nizhyn.

 If you would like to receive further information, please 
mail us to the conference address and please indicate the sections of
your interest.

Some errors in Binary Quadratic Forms, D.A. Buell, Springer 1989

Funding Available for Graduate students to attend Newton RMT school
Applications are being accepted to fund 10 graduate
students enrolled at U.S. institutions to attend a 10
day course

    (29 March - 8 April 2004)

at the Isaac Newton Institute. 
Information about the school can be obtained at
An on-line application form may be filled out at
The deadline for applications is Jan. 10, 2004.
The funding is being provided by an NSF grant.

This is a First Announcement for two series of lectures, generously
supported by the Wolfson Foundation, to be given at UMIST in May

1. During the week 10-14 May, Vernon Armitage (Durham) will give
a series on talks on possible approaches to both the arithmetic and
geometric Riemann hypotheses, by the use of perturbation theory.
He and Alice Rogers (Kings College, London) will also speak on
their joint work on Gauss sums and quantum mechanics.

2.  The following week, 17-20 May, Tony Scholl (Cambridge) will
give a series of six introductory talks on the theory of motives.

Martin Taylor


This is to announce a three day conference to be held in March 2005 in
honor of Stephen Lichtenbaum's 65-th birthday. The title of the conference
will be

             The Lichtenbaum Conjectures - Progress and Prospects

The speakers will be (provided that there are no schedule conflicts);

Spencer Bloch, John Coates, Ted Chinberg, Eric Friedlander, Alexander
Goncharov, Nicholas Katz, Niranjan Ramachandran, Andrei Suslin, and John

The conference will begin at 4 PM on Friday, March 18, and continue
through 1 PM on Sunday, March 20. There will be a banquet on Saturday

The National Science Foundation has provided a grant to help finance the
conference. Some financial aid will be available, especially for graduate
students and young faculty. More details to follow.

We are in the process of establishing a website for the conference. This
should be up within the next two weeks. More details will appear there.

                                       Sasha Goncharov
                                       Michael Rosen


Within the cooperation project NAWI-Graz (connecting
Karl-Franzens-University Graz and University of Technology Graz) there is an
open position for a female PhD-Student in Mathematics. Highly qualified
candidates interested in one of the following areas are encouraged to apply:

Applied Analysis and Scientific Computing
Financial Mathematics
Number Theory

Candidates must have a suitable master-degree in mathematics.

Applications have to be sent by e-mail to: (Prof. Dr. Robert Tichy)
Deadline: December 05, 2008 =======================================================================================


Within the cooperation project NAWI-Graz (connecting
Karl-Franzens-University Graz and University of Technology Graz) there is an
open position as a project collaborator/research assistant for a PhD Student in Mathematics.

Highly qualified candidates interested in analytic combinatorics and financial mathematics are encouraged to apply:

Candidates must have a suitable master-degree in mathematics.

Applications have to be sent by e-mail to: (Prof. Dr. Robert Tichy)
Deadline: December 24, 2008

Subject: Zeta Functions and L-Functions in Utah

    From: Jonathan Borwein

    We are hosting a Graduate Workshop on "Zeta Functions, L-Functions
    and their Applications" at Utah Valley University in June 2009. The
    workshop will run from 1 June through 4 June. The students that we
    are hoping will participate are  graduate students interested in
    number theory, not necessarily far advanced in their graduate
    studies, but certainly to include students who have begun to produce
    results relevant to the theme of the workshop.

    There will be sets of four lectures by each of three experts in the

    Brian Conrey (AIM), Steve Gonek (Rochester), and Ram Murty (Queens

    The basic material will be given in some detail, with description of
    the Riemann zeta function and Dirichlet L-functions, Dedekind zeta
    functions, L-functions of number fields, automorphic L-functions,
    Artin L-functions and L-functions of varieties. Topics such as the
    Birch-Swinnerton-Dyer conjecture and the random matrix approach to
    conjectures and results on zeta and L-functions will be outlined.

    There will also be a number of 25 minute presentations on recent
    results each day. Slots will be allocated to students, junior
    mathematicians and established researchers.

    Time will be allocated for discussions in groups to facilitate
    interaction between students and the other attendees. There will be
    a round table discussion on open problems at the end of the meeting.

    Utah Valley University is close to Brigham Young University in
    Provo/Orem, Utah, within easy reach of Salt Lake City airport. There
    will be a lunch at BYU ; the venue for lectures is UVU. There will
    be opportunities to hike among the surrounding mountains.

    We will provide funding for air travel (up to $500) together with
    lodging, for about 20 graduate student participants. Other attendees
    cannot be funded, other than the plenary lecturers, but there will
    be no registration fee. These arrangements are conditional on NSF
    funding, which has been requested.

    Responses and queries should be directed to Roger Baker at  in the first
    instance. A conference website will be set up in January once we
    know our funding status.

    The workshop would make excellent preparation for the Park City
    Mathematics Institute Workshop on "Arithmetic of L-Functions" which
    takes place from June 28 to July 18, 2008. For more about this
    workshop, see

On January 28 there is a meeting of the
Seminar Aachen-Köln-Lille-Siegen on
Automorphic Forms in Aachen.
RWTH Aachen, Temmplergraben 55, Hauptgebaude-Hörsaal 223.1


2.00-2.05 pm  Welcome
2.05-2.55 pm  Olav Richter, Jacobi forms over complex quadratic fields via
the cubic Casimir operator
3.10-4.00 pm Lynne Walling, Half-integral weight Siegel modular forms,
Hecke operators and theta series

4.00-5.00 pm Coffee break
5.00-5.50 pm Jan-Hendrik Bruinier, Faltings heights of CM cycles and
derivatives of L-functions

6.00 Dinner

25th Seminar Aachen-Koeln-Lille-Siegen on Automorphic Forms
(Organizers: J. Bruinier, V. Gritsenko, A. Krieg, G. Nebe,
N-P. Skoruppa)

The 25th meeting of the joint French-German seminar on
automorphic forms which is organized by the universities of
the four cited cities takes place on

      Wednesday, September 30 2009
at the
      University of Siegen, Emmy-Noether-Campus, Raum D-201.

Everybody who is interested in automorphic forms is welcome.
For further information concerning this meeting please send an
email to


14.00 -- 15.00 Fredrik Stroemberg (Universitaet Darmstadt):
    On computational aspects of vector-valued  modular forms
for  the Weil representation.

15.15 -- 16.15 Lassina Demb'el'e (University of Warwick, UK):

Coffee Break

17.00 -- 18.00 Ulf Kuehn (Universitaet Hamburg):
    Scattering constants and Neron-Tate heights.


---Nils-Peter Skoruppa
Nils-Peter Skoruppa
Algebra and Number Theory
University of Siegen, Germany

Clermont University announces 4 postdoctoral positions for 2010

Four postdocs will be hired at Clermont-Ferrand (France) next year.
The positions have not been reserved for mathematics but the hope is
that the math department will be granted at least one of the four.
See the websites

for general information on the city and university.

The following requirements are necessary to apply:
-  the applicant should not be French, must not have defended his or
her thesis in a French math department, and must not be working in a
French math department at the moment of applying;
- the applicant should be no more than 35 years old (+1 year for each
child) on November 1, 2010;
- the applicant should have defended his or her thesis before November
30, 2010.

The deadline for the mailing of application materials is October 30,
2010.  The selection of applicants will be done sometime in December
2010, and the hired applicant should agree to join the Clermont math
department no later than February 28, 2011.  The salary is around 1900
euros (net) per month.

Interested number theorists should contact Emmanuel Royer at


  Nanjing University, Nanjing , China, is organising an International conference on Algebraic K-theory and Its
Applications , March 17-21,  2011, in honour of the 70th birthday of Professor Aderemi Oluyomi Kuku.
The conference will emphasize applications in the areas of Number Theory, Algebraic Geometry and Representation theory .

Arrival date is March 16 and departure date is March 22, 2011.

Venue of the conference:  Nanjing University, Nanjing ,China.

Organizing Committee:
Hourong Qin, (Nanjing University) Chairman
Nanqing Ding (Nanjing University)
Xuenjun Guo (Nanjing University)
Zhaoyong Huang(Nanjing University)
Qingzhong Ji (Nanjing University)
Gouping Tang(Graduate University of the Chinese Academy of Sciences)
Xiaosheng Zhu (Nanjing University)

Plennary speakers include:
Masanori Asakura(Hokkaido University, Japan)
Anthony Bak (University of Bielefeld, Germany)
Paul Frank Baum (Pennsylvania State University, USA)
Jerzy Browkin(Institute of Mathematics, University of Warsaw,  Poland )
Xunjun Guo(Nanjing University, China)
Kevin Hutchinson(University College Dublin, Ireland)
Bruno Kahn  (Institut de Mathématiques de Jussieu, Paris,France)
Max Karoubi (Institut de Mathématiques de Jussieu, Paris, France)
Frans Keune (University of Nijmegen, Netherland)
Manfred Kolster (McMaster University, Canada)
Aderemi  O. Kuku (Grambling State University, USA)
Marc Levine (Universität Duisburg-Essen)
A.  Chazad Movahhedi (Universite de Limoges, France)
Thong Nguyen Quang Do(Département de Mathématiques de Besancon, France)
Claudio Pedrini (Univ. Genova, Italy)
Paul Arne Oster (Department of Mathematical Sciences, NTNU, Trondheim, Norway)
Sujatha Ramdorai (School of Mathematics, Tata Institute of Fundamental Research, India)
Guoping Tang (Graduate University of the Chinese Academy of Sciences,China)
Kejian Xu(Qingdao University, China)

There are no registration fees.


To apply for participation, please contact H. Qin(  or X. Guo(
(telephone: +86-25-83592793; FAX: +86-25-836 )
with a letter giving details of academic qualifications (including publications if any)
relevant to the theme of the conference.There will be some contributed short talks by
some selected partcipants and those who want to take advantage of this possiblity should
 send a title and abstract of their intended talk for consideration. In any case, all
applications for participation should reach Professor Qin or Professor Guo latest by
March 3, 2011.


Dear colleagues,

This is a second announcement for the

13th Conference of the Canadian Number Theory Association (CNTA XIII)
June 16-20, 2014
Carleton University
and the University of Ottawa

1. If you are interested, please register to the conference before April 30 as the fees will be higher after.  
A block of rooms in residence and at the Business Inn has been reserved for the conference:

2. We are soliciting proposals for contributed talks.  The deadline has been extended to April 21. 
This is an important component of the conference and we encourage you, your students and 
post-doctoral fellows to make a proposal using the abstract submission form:

3. The deadline for requesting funding support is also April 21.  
Students and post-doctoral fellows are encouraged to fill a request using the funding application form:

4. If you know people who could be interested in this event but are missing in this mailing, 
please forward this message to them.

Thank you in advance for your help!

Your local organizing committee for CNTA-13:

Ayse Alaca, Saban Alaca, Paul Mezo, Damien Roy, Abdellah Sebbar, Hugh Williams and Kenneth Williams