Online number theory lecture notes

Selected from N4.html

  1. Lecture notes in Greek (Jannis Antoniadis)
  2. Lecture notes on p-adic numbers and introductory number theory (Andrew Baker)
  3. Algebraic Number Theory and commutative algebra, lecture notes by Robert Ash
  4. Zahlentheorie (Notes by Winfried Bruns)
  5. Algebra 2 - number theory for teacher education, Michal Bulant (in Czech)
  6. MAS4002: Algebraic Number Theory, Course notes by Robin Chapman, University of Exeter
  7. Algebraic Number Theory and Automorphic L-functions, lecture notes by Ching-Li Chai
  8. Curso avanzado de Teoría de Números (Fernando Chamizo)
  9. Lectures on irregularities of point distribution, (notes by William Chen)
  10. Elementary and Analytic Number Theory, Lecture notes by William Chen
  11. Computational class field theory, A course given at the Middle East Technical University, Ankara, 1997 by Henri Cohen (dvi 255K)
  12. Draft chapters of elliptic curve handbook ECH1
  13. Modular forms (Igor Dolgachev)
  14. The Modular curves X0(N), Lecture notes by Bas Edixhoven
  15. Lecture notes for Math 259: Introduction to Analytic Number Theory (Spring 1998) (Noam Elkies)
  16. Course notes for analytic number theory (Graham Everest) (ps 442K)
  17. Course Notes for elementary and algebraic number theory, local fields, Ivan Fesenko
  18. Math 780: Elementary Number Theory, Notes by Michael Filaseta, 1997
  19. Lectures on cryptography, Heraklion, Crete 2003, (Gerhard Frey)
  20. Elliptic Curves and Modular Forms (Wee Teck Gan)
  21. Vinogradov's three-primes theorem, notes by Timothy Gowers (dvi 54K)
  22. Notes on sieve theory (Ben Green)
  23. Elementary Number Theory, by Peter Hackman (corrections and comments to the author at pehac@mai.liu.se; the author points out that the second half of the text has not been properly proofread)
  24. Vorlesung Elementare Zahlentheorie mit Übungsblätter (Karin Halupczok)
  25. Lecture notes on algebraic number theory (Jerome Hoffman)
  26. Lecture notes on elementary number theory (Bruce Ikenaga)
  27. Notes on sieve methods, notes by Robert Juricevic based on 6 lectures by Ram Murty (ps file 517K)
  28. Math 254B (Number Theory), lecture notes on class field theory, abelian extensions of number fields etc (Kiran Kedlaya)
  29. Algebraic Number Theory, Lecture Notes by Franz Lemmermeyer
  30. Quadratische Zahlkörper, Lecture notes by Franz Lemmermeyer
  31. Elliptische Kurven, Lecture notes by Franz Lemmermeyer
  32. Lecture Notes from H.L. Lenstra's Algebraic Curves Math 274, 1995
  33. Seminar Notes on Elliptic Curves and Formal Groups: J. Lubin, J.-P. Serre and J. Tate, Summer Institute on Algebraic Geometry, Woods Hole, 1964
  34. Course notes in elementary number theory by Rudolph Maier (in Portuguese)
  35. MP313 and MP473 number theory course notes, problems and solutions by Keith Matthews
  36. Math 574 - A Graduate course in automorphic forms and representations (Stephen Miller)
  37. Course Notes by Jim Milne: Algebraic number theory, Class field theory, Algebraic Geometry, Elliptic Curves, Modular functions and forms, Abelian varieties, Etale Cohomology
  38. Graduate number theory seminar: Algebraic number theory and elliptic curves (Brian Osserman)
  39. DEA 2003/04: Elliptic functions and elliptic curves, lecture notes by Jan Nekovář
  40. Course notes on analytic/combinatorial number theory from the 2003 Arnold Ross Summer Mathematics Program (Paul Pollack)
  41. Introductory Number Theory 1 (Don Rideout)
  42. Vorlesungen über Zahlentheorie, Elliptische Kurven und Kryptographie, (Wolfgang Ruppert)
  43. Lecture notes on elementary number theory (David Santos)
  44. Draft of PCMI Lecture Notes on Open Questions in Arithmetic Algebraic Geometry (Alice Silverberg) (ps file 803K)
  45. Course notes on Heights, (Nils-Peter Skoruppa)
  46. Elementare Zahlentheorie, Lecture notes by Heinz Spindler
  47. An explicit approach to elementary number theory (Course notes by William Stein)
  48. Algebraic number theory course book (William Stein)
  49. Ken Ribet's Modular Forms and Hecke Operators Course (Notes by William A. Stein)
  50. Number rings, local fields, elliptic curves, lecture notes by Peter Stevenhagen
  51. Course notes on analytic number theory, algebraic number theory, linear forms in logarithms and diophantine equations (Cameron Stewart)
  52. Elliptische Kurven I/II, (Michael Stoll)
  53. Exercises on binary quadratic forms to supplement David Cox's book Primes of the Form x2+ny2 (Jeff Stopple)
  54. Math 571 Analytic Number Theory I, Fall 2004 (Bob Vaughan)
  55. Math 7280, Fall 2004, elliptic curves (Helena Verrill)
  56. Math 7280, Spring 2004, modular forms (Helena Verrill)
  57. Diophantine geometry in characteristic p: a survey, (Felipe Voloch)
  58. Introduction to Diophantine methods: irrationality and transcendence, course notes by Michel Waldschmidt
  59. Lecture notes on valuations and dynamics (Thomas Ward)
  60. Algebraic number theory course notes (Tom Weston)
  61. Notes on elementary number theory (David Wilkins)
  62. Vorlesungsmanuskripte und Übungen zur Zahlentheorie (Dieter Wolke)
  63. Circulants, an online book by Alun Wyn-Jones
  64. Introducione alla Teoria Analitica dei Numeri, lecture notes by Alessandro Zaccagnini

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Last modified 5th May 2008