解析数论问题集（英文版）

解析数论问题集（英文版）
出版时间：2014年版
丛编项： 国外优秀数学著作原版系列
内容简介
　　《国外优秀数学著作原版系列：解析数论问题集（第2版）》是国外优秀数学著作原版系列之一，解析数论，为数论中的分支，它使用由数学分析中发展出的方法，作为工具，来解决数论中的问题。它首次出现在数学家狄利克雷使用数学分析方法证明狄利克雷定理。
目录
Acknowledgments for the Second Edition
Preface to the First Edition
Acknowledgments for the First Edition
ⅠProblems
1 Arithmetic Functions
1.1 The Mobius Inversion Formula and Applications
1.2 Formal Dirichlet Series
1.3 Orders of Some Arithmetical Functions
1.4 Average Orders of Arithmetical Functions
1.5 Supplementary Problems
2 Primes in Arithmetic Progressions
2.1 Summation Techniques
2.2 Characters mod q
2.3 Dirichlet's Theorem
2.4 Dirichlet's Hyperbola Method
2.5 Supplementary Problems
3 The Prime Number Theorem
3.1 Chebyshev's Theorem
3.2 Nonvanishing of Dirichlet Series on Re(s) = 1
3.3 The Ikehara - Wiener Theorem
3.4 Supplementary Problems
4 The Method of Contour Integration
4.1 Some Basic Integrals
4.2 The Prime Number Theorem
4.3 Further Examples
4.4 Supplementary Problems
5 Functional Equations
5.1 Poisson's Summation Formula
5.2 The Riemann Zeta Function
5.3 Gauss Sums
5.4 Dirichlet L-functions
5.5 Supplementary Problems
……
Ⅱ Solutions
Reterences
Index