number theorist names:B

1. Eric Bach
   • Analytic Methods in the Analysis and Design of Number-Theoretic Algorithms, MIT Press, 1985. [ACM Distinguished Dissertation Series.]
   • Algorithmic Number Theory, Vol. 1, E. Bach, J.O. Shallit, MIT Press, August 1996
     • Algorithmic Number Theory - Bibliography, BibTeX files for Algorithmic Number Theory, Vol. 1, J.O. Shallit, Eric Bach, MIT Press 1996
2. Christine Bachoc
3. Sung Han Bae
4. Ricardo Baeza
   • Quadratic Forms-Algebra, Arithmetic, and Geometry, Ed. Ricardo Baeza, Wai Kiu Chan, Detlev W. Hoffmann, Rainer Schulze-Pillot, Contemporary Mathematics 493, AMS 2009
5. Shi Bai
6. Stephan Baier
   • Über Zugänge von Hua und Pan Chengdong zum Primzahlzwillingsproblem, PhD thesis, Stephan Baier, FU-Berlin 2000
7. David Bailey
8. Alan Baker
   • A Tribute to Paul Erdös, Ed. Alan Baker, Bela Bollabás, Andras Hajnal, CUP 2008
   • Logarithmic Forms and Diophantine Geometry, Alan Baker, Gisbert Wüstholz, New Mathematical Monographs (No. 9), CUP 2008
   • Alan Baker (MacTutor biography)
   • A Concise Introduction to the Theory of Numbers, A. Baker, CUP 1985
   • New Advances in Transcendence Theory, (Ed. A. Baker), CUP 1988
   • Transcendental Number Theory, (Revised Edn.) A. Baker, CUP 1990
   • Catalan's Conjecture, Review of P. Ribenboim, Academic Press 1994, (Alan Baker) Bulletin Volume 32 Issue 1, January 1995, pages 110-112
9. Roger Baker
   • Kloosterman sums and Maass forms, Volume 1, Roger C. Baker, Kendrick Press 2003
10. Matt Baker
    • Algebraic number theory notes (Matt Baker - pdf)
11. Jennifer Balakrishnan
12. Eugenio Balanzario
13. Michel Balazard
14. Francesco Baldassarri
15. Cristina Ballantine
16. Christian Ballot
17. Antal Balog
18. Erik Balslev
19. Grzegorz Banaszak
20. Andrea Bandini
21. Debargha Banerjee
22. William Banks
23. Kenichi Bannai
24. Ioulia Baoulina
25. Arthur Baragar
26. Burcu Baran
27. Ed Barbeau
    • Pell's Equation, E. Barbeau, Problem Books in Mathematics, Springer 2003
28. Gintautas Bareikis
29. Rupam Barman
30. Thomas Barnet-Lamb
    • On Potential Automorphy, and other topics in Number Theory, PhD thesis, Thomas Barnet-Lamb, Harvard University 2009
31. Francesc Bars
    • On the Tamagawa number conjecture, PhD thesis, Francesc Bars, Universitat Autonòma de Barcelona 2001
32. Alex Bartel
33. Krystyna Bartz
34. Nayandeep Deka Baruah
35. Ehud Moshe Baruch
36. Paul Bateman
    • Analytic Number Theory, An Introductory Course, Paul Bateman & Harold Diamond, World Scientific, September 2004
37. Claus Bauer
38. Mark Bauer
39. Peter Bauer
    • Zur Verteilung der Nullstellen der Dirichletschen L-Reihen, Dissertation, Peter Bauer, Frankfürt am Main, 1997
40. Christoph Baxa
41. Eva Bayer-Fluckiger
42. Jonathan Bayless
43. Carter Bays
44. András Bazsó
45. Danilo Bazzanella
46. József Beck
    • Irregularities of Distribution, W. Chen, J. Beck, Cambridge Tract 89, CUP 1987
47. Matthias Beck
48. Jennifer Beineke
49. Karim Belabas
    • Le Théorème de Fermat (Karim Belabas and Catherine Goldstein)
50. Juliana Belding
    • Number theoretic algorithms for elliptic curves, PhD thesis, Juliana Belding, University of Maryland, College Park, 2008
51. Constantin-Nicolae Beli
52. Jason Bell
53. Joël Bellaïche
54. Robert Benedetto
55. Stan Benkoski
56. Mike Bennett
57. Attila Bérczes
58. Daniel Berend
59. Victor Beresnevich
60. Michael Berg
    • The Fourier-Analytic Proof of Quadratic Reciprocity, M.C. Berg, Wiley 2000
61. Anne-Marie Bergé died on September 20th, 2008
62. Laurent Berger
    • Representations p-adiques de Groupes p-adiques I: Representations Galoisiennes et (, Γ)-Modules, Edited by: Laurent Berger, Christophe Breuil, Pierre Colmez, Astérisque 319, 2008
    • Représentations p-adiques et équations différentialles, PhD, Laurent Berger, Paris 6, 2001
63. Tobias Berger
64. Dominique Bernardi
    • Les Conjectures de Stark sur les Fonctions L d'Artin en s=0, notes by Dominique Bernardi, Progress in Math. 47 Birkhäuser 1984
65. Julien Bernat
66. Bruce Berndt
    • Ramanujan's Lost Notebook, Part II, Bruce Berndt, George Andrews, Springer January 2009
    • Hecke's theory of modular forms and Dirichlet series (2nd Printing with revisions), Bruce Berndt, Marvin Knopp, Monographs in Mathematics 5, World Scientific 2007
    • Number Theory in the Spirit of Ramanujan, Bruce Berndt, AMS Student Mathematical Library 34 (September) 2006
    • Ramanujan's Lost Notebook Part I, George Andrews, Bruce Berndt, Springer 2005
    • Number Theory for the Millennium I, II, III, Ed. Bruce Berndt et al., A.K. Peters 2002
    • q-Series with Applications to Combinatorics, Number Theory, and Physics, Ed. Bruce Berndt, Ken Ono, Contemporary Mathematics 291 2001
    • Ramanujan: Essays and Surveys, (Ed.) B.C. Berndt, R.A. Rankin, History of Mathematics Series, November 2001, AMS
    • Ramanujan's Notebooks Part II, B.C. Berndt, Springer 1998
    • Gauss and Jacobi Sums, B.C. Berndt, R.J. Evans, K.S. Williams, Wiley, Canadian Mathematical Society Series of Monographs and Advanced Texts 21, 1998
    • Ramanujan's Notebooks Part V, B.C. Berndt, Springer 1998
    • Analytic Number Theory: Proceedings of Conference in Honour of Heini Halberstam (ed) B.C. Berndt, H.G. Diamond, A.J. Hildebrandt, Progress in Mathematics 139, Birkhaüser 1996
    • Ramanujan: Letters and Commentary, R.A. Rankin, B.C. Berndt, History of Mathematics 9, AMS 1995
    • Ramanujan's Notebooks Part IV, B.C. Berndt, Springer 1994
    • The Continued Fractions Found in the Unorganized Portions of Ramanujan's Notebooks G.E. Andrews, B.C. Berndt, L. Jacobsen, R.L. Lamphere, Memoirs of the AMS 99, AMS 1992
    • Ramanujan's Notebooks Part III, B.C. Berndt, Springer 1991
    • Ramanujan's Notebooks Part I, B.C. Berndt, Springer 1985
    • The determination of Gauss sums, Bruce C. Berndt; Ronald J. Evans, Bull. Amer. Math. Soc. 5 (1981), 107-129
67. Rolf Berndt
68. Vasily Bernik
    • Metric Diophantine Approximation on Manifolds, V.I. Bernik, M.M. Dodson, CUP 1999
69. Dan Bernstein
    • Post Quantum Cryptography, Ed. Dan Bernstein, Johannes Buchmann, Erik Dahmen, Springer 2009
    • An exposition of the Agrawal-Kayal-Saxena primality-proving theorem (Dan Bernstein)
    • Math 514 (Dan Bernstein)
70. Pedro Berrizbeitia
    • Algoritmos deterministas de primalidad, Pedro Berrizbeitia, 2004
71. Thomas Berry
72. Pierre Berthelot
    • Geometric Aspects of Dwork Theory, Ed. Alan Adolphson, Francesco Baldassarri, Pierre Berthelot, Nicholas Katz, Francois Loeser, Volumes I, II, de Gruyter 2004
73. Marie-José Bertin
74. Cristiana Bertolin
75. Daniel Bertrand
76. Amnon Besser
77. Frits Beukers
    • The ABC-conjecture, Frits Beukers, ABC-day, Leiden, September 9, 2005 (fritsABCpresentation.pdf)
    • The Riemann zetafunction and its relatives (Frits Beukers)
    • Getaltheorie voor beginners, F. Beukers, Epsilon Uitgaven, Utrecht 1999
78. Jean-Paul Bezivin
79. Manjul Bhargava
    • The first Ramanujan colloquium, Manjul Bhargava, Sums of squares and the "290" theorem
80. Jean-François Biasse
81. Mehpare Bilhan
82. Nicolas Billerey
83. Yuri Bilu
    • An exposition by Yuri Bilu of Preda Mihailescu's recent proof of Catalan's conjecture: pdf, ps
84. Bryan Birch
85. Peter Birkner
86. András Birò
87. Guido Blady
    • Die Weil-Restriktionen elliptischer Kurven in der Kryptographie , Diplomarbeit, Guido Blady, Essen 2002
88. Don Blasius
89. Richard Blecksmith
90. Werner Bley
91. Valentin Blomer
    • Contributions in Analytic and Algebraic Number Theory, Ed. Valentin Blomer, Preda Mihăilescu, Springer Proceedings in Mathematics 9, 2012
    • Million Euro prize awarded to Valentin Blomer
    • Valentin Blomer awarded the 2010 Ribenboim prize
92. Jonathan Bober
    • Slide talk - New computations of the Riemann zeta function, Jonathan Bober (joint work with Ghaith Hiary)
93. Florin Boca
94. Siegfried Böcherer
    • Automorphic forms and zeta functions: Proceedings of a Conference in Memory of Tsuneo Arakawa, Ed. Siegfried Böcherer, Tomoyoshi Ibukiyama, Masanobu Kaneko, Fumihiro Sato , World Scientific 2006
95. Gebhard Böckle
    • Cohomological Theory of Crystals over Function Fields, Gebhard Böckle and Richard Pink, EMS Tracts in Mathematics Vol. 9, 2009
96. Enrico Bombieri
    • Enrico Bombieri (MacTutor biography)
    • Le Grand Crible dans la Théorie Analytique des Nombres, Enrico Bombieri, Astérisque 18, SMF 1974
    • Heights in Diophantine Geometry, Enrico Bombieri, Walter Gubler, New Mathematical Monographs 4, CUP 2006
97. Nicolae Bonciocat
98. Andrew Booker
    • Uncovering a New L-function, Andrew R. Booker, Notices of the AMS, Volume 55, October 2008
    • Turing and the Riemann Hypothesis, Andrew Booker, Notices of the AMS., 53 (2006) 1208-1211
    • The Nth prime page (Andrew Booker)
99. Guillaume Bordes
100. James Borger
101. Alexander Borisov
102. Itshak Borosh
103. Jonathan Borwein
     • Books on Experimental Mathematics (David Bailey and Jonathan Borwein)
     • Pi: A Source Book, L. Berggren, J. Borwein, P. Borwein, Springer-Verlag 1997
104. Peter Borwein
     • The Riemann Hypothesis: A Resource for the Afficionado and Virtuoso Alike, P. Borwein, S. Choi, B. Rooney, A. Weirathmueller (Eds.), CMS Books in Mathematics XIV, 2008, Springer
     • Computational Excursions in Analysis and Number Theory, P. Borwein, CMS Books in Mathematics 11, Springer NY
     • Pi and the AGM, P. Borwein, J.M. Borwein, Wiley-Interscience 1987, ISBN 0-471-83138-7
     • A Dictionary of Real Numbers, P. Borwein, J.M. Borwein, Wadsworth 1990
     • Polynomials and Polynomial Inequalities, P. Borwein, T. Erdélyi, Graduate Text 161, Springer 1995
     • Pi: A Source Book, L. Berggren, J. Borwein, P. Borwein, Springer-Verlag 1997
105. Wieb Bosma
     • Algorithmic Number Theory, Ed. W. Bosma, Proceedings of ANTS-IV, LNCS 1838, Springer 2000
     • Aliquot sequences (Wieb Bosma)
     • Computational Algebra and Number Theory, Ed. (A.J. van der Poorten, W. Bosma), Mathematics and its Applications 325, Kluwer 1995, ISBN 0-7923-3501-5
106. Johan Bosman
     • Computational Aspects of Modular Forms and Galois Representations: How One Can Compute in Polynomial Time the Value of Ramanujan's Tau at a Prime, Ed. Bas Edixhoven & Jean-Marc Couveignes, with Robin de Jong, Franz Merkl & Johan Bosman
107. Alin Bostan
108. Nigel Boston
109. Jean Bourgain
110. Thanasis Bouganis
111. Irene Bouw
112. Douglas Bowman
113. John Boxall
114. David Boyd
     • Ergodic theory, Karma Dajani, Cor Kraaikamp, MAA Carus Monograph 29, 2002 (reviewed by David Boyd)
115. Pascal Boyer
     • Cours d'arithmétique, notes by Pascal Boyer
116. Matt Boylan
117. David Bradley
118. Miljan Brakočević
119. Andrew Bremner
120. Eliot Brenner
121. Barry Brent
122. Richard Brent
     • Modern Computer Arithmetic, Richard Brent and Paul Zimmermann, Cambridge University Press, 2010
     • Factorization of F10
123. David Bressoud
     • A Course in Computational Number Theory, D. Bressoud, S. Wagon, Springer 2000
     • Factorization and Primality Testing, D.M. Bressoud, Undergraduate Text, Springer 1989
     • The Rademacher Legacy to Mathematics, D.M. Bressoud, G.E. Andrews and L.A. Parsons, Contemporary Mathematics 166, AMS 1994
124. Florian Breuer
     • On the André-Oort conjecture and Drinfeld modular curves, PhD thesis, Florian Breuer, Université Denis Diderot (Paris 7), 2003
125. Christophe Breuil
     • Representations p-adiques de Groupes p-adiques I: Representations Galoisiennes et (, Γ)-Modules, Edited by: Laurent Berger, Christophe Breuil, Pierre Colmez, Astérisque 319, 2008
126. Manuel Breuning
127. Keith Briggs
     • Klein polyhedra (Keith Briggs)
     • Some experimental approaches to Diophantine approximation problems (Keith Briggs)
     • XR-exact real arithmetic package (Keith Briggs)
     • A bibliography of papers related to simultaneous diophantine approximation (Keith Briggs)
128. Martin Bright
     • Computations on Diagonal Quartic Surfaces, PhD thesis, Martin Bright, Cambridge 2003
129. John Brillhart
     • Elliptic polynomials, J.S. Lomont, J. Brillhart, CRC Press 2000
     • Factorizations of bⁿ±1, b= 2, 3, 5, 6, 7, 10, 11, 12 up to high powers (third edition) John Brillhart, D. H. Lehmer, J. L. Selfridge, Bryant Tuckerman, and S. S. Wagstaff, Jr. Contemporary Mathematics 22, AMS 1988
130. Kathrin Bringmann
     • Applications of Poincare series on Jacobi groups Ph.D. Thesis, Kathrin Bringmann, University of Heidelberg, 2004
131. Nicolas Brisebarre
132. David Broadhurst
133. Reinier Bröker
     • Constructing elliptic curves of prescribed order, PhD thesis, Reinier Bröker, Leiden University, 2006
134. Kevin Broughan
     • GL(n)pack Home Page (Kevin Broughan)
135. David Brown
136. Ezra Brown
     • Biscuits of Number Theory, Ed. Ezra Brown, Arthur Benjamin, MAA, 2009
     • Three Connections to Continued Fractions, Ezra Brown
137. Jim Brown
138. Peter Brown
139. Tim Browning
     • Quantitative Arithmetic of Projective Varieties, Tim Browning, Progress in Mathematics, Vol. 277, Birkhäuser, 2010
     • Analytic Methods for Diophantine Equations and Diophantine Inequalities, H. Davenport (Ed. Tim Browning), CUP 2005
     • Counting Rational Points on Curves and Surfaces , DPhil. Thesis, Tim Browning, Oxford 2001
140. Dale Brownawell
141. Ben Brubaker
     • Dedekind zeta function, notes by Ben Brubaker
142. Paul Bruckman (email: potzrebie@nietzsche.net)
143. Jörg Brüdern
144. Roelof Bruggeman
     • Families of Automorphic Forms, R.W. Bruggeman, Monographs in Mathematics, Volume 88, Birkhäuser 1994, Review, Audrey A. Terras, Bull. Amer. Math. Soc. 33 (1996), 77-80
145. Nils Bruin
     • Chabauty methods and covering techniques applied to generalized Fermat equations, CWI Tract 133, Nils Bruin 2002
     • Generalization of the ABC-conjecture, Nils Bruin, Master Thesis, Leiden University, 1995
146. Jan Bruinier
     • The 1-2-3 of Modular Forms, Bruinier, J.H., van der Geer, G., Harder, G., Zagier, D., Springer Universitext 2008
     • EIS, computing Fourier coefficients of Eisenstein series attached to lattices, (M. Kuss and J. Bruinier)
147. Farrell Brumley
148. François Brunault
     • Étude de la valeur en s=2 de la fonction L d'une courbe elliptique, PhD thesis, François Brunault, Universitél Paris 7 Denis-Diderot, 2005
149. Juliusz Brzezinski
150. Ralph Buchholz
151. Johannes Buchmann
     • Post Quantum Cryptography, Ed. Dan Bernstein, Johannes Buchmann, Erik Dahmen, Springer 2009
     • Binary Quadratic Forms: An Algorithmic Approach, Johannes Buchmann, Ulrich Vollmer, Algorithms and Computation in Mathematics , 20, Springer 2007
     • Introduction to Cryptography, J. Buchmann, Undergraduate Text Springer 2000
     • LiDIA
152. Paul Buckingham
     • The canonical fractional Galois ideal at s=0, PhD thesis, Paul Buckingham, Universtiy of Sheffield, 2008
153. Alina Ioana Bucur
154. Mark Budden
155. Duncan Buell
     • Algorithmic Number Theory, Proceedings of ANTS-VI, Ed. Duncan Buell, Springer 2004
     • Computational Perspectives on Number Theory: Proceedings of a Conference in Honor of A. O. L. Atkin, Ed. D. A. Buell, J. T. Teitelbaum, AMS/IP Studies in Advanced Mathematics, Vol 7, 1998
     • Binary Quadratic Forms, D.A. Buell, Springer 1989 (see errors and php program and tables)
156. Yann Bugeaud
     • Dynamical Systems and Diophantine Approximation, Ed. Yann Bugeaud, Françoise Dal'Bo, Cornelia Druţu, Séminaires et Congrès, Volume 19, 2011
     • Approximation by Algebraic Numbers, Yann Bugeaud, Cambridge Tract 160, CUP October 2004
157. Joe Buhler
     • Algorithmic Number Theory, Edited by Joe P. Buhler and Peter Stevenhagen, Mathematical Sciences Research Institute Publications, December 2008 CUP, also see Preliminary version
158. Hung Manh Bui
159. Alexandru Buium
     • Arithmetic Differential Equations, Alexandru Buium, AMS Mathematical Surveys and Monographs 118 2005
160. Michal Bulant
     • Algebra 2 - number theory for teacher education, Michal Bulant (in Czech)
     • Class number parity of a compositum of quadratic fields, PhD thesis, Michal Bulant, Masaryk University, Brno 2002 (pdf 419K)
161. Richard Bumby
162. Dan Bump
     • Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory, Ed. Solomon Friedberg, Daniel Bump, Dorian Goldfeld, Jeffrey Hoffstein, Proceedings of Symposia in Pure Mathematics 75, AMS, Dec 2006
     • Algebraic Geometry, D. Bump, World Scientific 1998
     • Automorphic Forms and Representations, CUP 1996
     • On some applications of automorphic fomrs to number theory, Daniel Bump, Solomon Friedberg, Jeffrey Hoffstein, Bull. Amer. Math. Soc. 33 (1996), 157-175
     • Automorphic Forms on GL(3,R), Lecture Notes in Mathematics 1083, Springer 1984
163. Peter Bundschuh
     • Einführung in die Zahlentheorie, Springer Lehrbuch 1992
164. Edward Burger
     • Making Transcendence Transparent: An intuitive approach to classical transcendental number theory, Ed Burger, Robert Tubbs, Springer 2004
     • Exploring the Number Jungle: A Journey into Diophantine Analysis, E.B. Burger, AMS Student Mathematical Library 8, 2000
165. David Burgess
166. Jean-François Burnol
167. David Burns
     • L-Functions and Galois Representations, Ed. David Burns, Kevin Buzzard, Jan Nekovář, LMS Lecture Notes 320 CUP 2007
     • Stark's Conjectures: Recent Work and New Directions, Ed. David Burns, Christian Popescu, Jonathan Sands, David Solomon, Contemporary Mathematics 358, AMS 2004
168. Michael Bush
     • p-class towers of imaginary quadratic fields, Ph.D. Michael Bush, University of Illinois at Urbana-Champaign, 2004
169. Colin Bushnell
     • The Local Langlands Conjecture for GL(2), Colin Bushnell, Guy Henniart, Grundlehren der mathematischen Wissenschaften, 335, Springer 2006
170. Kazim Buyukboduk
171. Kevin Buzzard
     • L-functions (Kevin Buzzard)
     • L-Functions and Galois Representations, Ed. David Burns, Kevin Buzzard, Jan Nekovář, LMS Lecture Notes 320 CUP 2007
     • Kevin Buzzard receives the 2002 LMS Whitehead Prize
     • Book Review by Kevin Buzzard of Modular Forms and Fermat's Last Theorem, G. Cornell, J.H. Silverman, G. Stevens, Editors
     • The Levels of Modular Representations, PhD Thesis, Kevin Buzzard, Cambridge University
172. DongHo Byeon
173. Nigel Byott

Return to [A-Z] page

Return to Number Theory Web page

Things of interest to number theorists

Last modified 25th January 2012