نظریه اعداد: مجموعه مقالات نخستین کنفرانس انجمن نظریه اعداد کانادا که در مرکز Banff در Banff، آلبرتا، از ۱۷ تا ۲۷ آوریل ۱۹۸۸ برگزار شد ۲۰۱۶
Number Theory: Proceedings of the First Conference of the Canadian Number Theory Association held at the Banff Center, Banff, Alberta, April 17–27, 1988 2016

1. Preface

2. List of Participants

3. Table of Contents

4. An Integral Functional Equation of Ramanujan Related to the Dilogarithm

5. Cyclotomic Partitions

6. Limit Points of the Salem Numbers

7. Complexity of Algorithms in Algebraic Number Theory

8. Perturbations and Complementary Sequences of Integers

9. On the Number of Sets of Integers With Various Properties

10. On the Ramanujan-Nagell Equation and its Generalizations

11. The Uniform Group Under Change of Rings

12. Sieve Auxiliary Functions

13. Discriminants and Class Numbers of Indefinite Integral Quadratic Forms

14. On a Conjecture of Roth and Some Related Problems, II

15. Some New Identities Involving the Partition Function p(n )

16. What is Special about 195? Groups, n th Power Maps and a Problem of Graham

17. Modular Elliptic Curves and Diophantine Problems

18. Some Conjectures Related to Fermat's Last Theorem

19. Canadian Number Theory Association Unsolved Problems 1988

20. The Partial Zeta Functions of a Real Quadratic Number Field Evaluated at s = 0

21. Characterizations of the Logarithm as an Additive Arithmetic Function

22. A Note on Dedekind Sums

23. A Brief Survey on Distribution Questions for Second Order Linear Recurrences

24. Basis for the Polynomial Time Computable Functions

25. Exponential Sums Connected With Quadratic Forms

26. On Quartic Fields with the Symmetric Group

27. Sets With Non-Squarefree Sums

28. Class Numbers of Simplest Quartic Fields

29. On Improving Ramachandra’s Unit Index

30. Rational Functions, Diagonals, Automata and Arithmetic

31. Discriminants and Permutation Groups

32. The Riemann Hypothesis From a Logician’s Point of View

33. Triangular Farey Arrays

34. Solution of the Class Number One Problem For Real Quadratic Fields of Extended Richaud-Degert Type (With One Possible Exception)

35. On Simple Zeros of Certain L-Series

36. Asymptotic Distribution and Independence of Sequences of g -Adic Integers, II

37. On the Piltz Divisor Problem With Congruence Conditions

38. On the Pair Correlation of Zeros of Dirichlet L-Functions

39. Computational Methods For the Resolution of Diophantine Equations

40. Some Confirming Instances of the Birch-Swinnerton-Dyer Conjecture Over Biquadratic Fields

41. Criteria for the Class Number of Real Quadratic Fields to be One

42. An Analog of Hilbert's Irreducibility Theorem

43. On Partitions of the Positive Integers With No x, y, z Belonging to Distinct Classes Satisfying x + y = z

44. Algebraic surfaces derived from unit groups of quaternion algebras

45. Explicit evaluation of certain Eisenstein sums

46. Digital Sum Sets

47. New Invariants of Real Quadratic Fields

48. A Limit Formula for the Canonical Height of an Elliptic Curve and its Application to Height Computations