解析数论问题集

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作者Murty,M.R. 著作

出版社哈尔滨工业大学出版社

ISBN9787560346885

出版时间2014-05

装帧平装

开本16开

定价88元

货号1200931355

上书时间2024-11-14

已实名已认证进店收藏店铺

商品描述: 目录
Preface to the Second Edition
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 Dirichlets Theorem
2.4 Dirichlets Hyperbola Method
2.5 Supplementary Problems
3 The Prime Number Theorem
3.1 Chebyshevs 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 Poissons 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

内容摘要
本书是国外很好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雷使用数学分析方法证明狄利雷定理。

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