解析數論入門(mén)教程簡(jiǎn)介，目錄書(shū)摘
It is the goal of the series Monographs in Number Theory to publish research monographs and textbooks that provide clear expositions of various tpoics in number theory .
We are grateful to Professors Bateman and Diamond for agreeing to include their analytic number theory textbook as the first volume of the series.
We hope to continue to make available advanced monorraphs for reseatchers,as well as monographs and textbooks accessible to a broader audience, including undergarduate students,garduate students,and nonexperts.
Contents
Chapter1 Introduction
Chapter2 Calculus of Arithmetic Functions
Chapter3 Summatory Functions
Chapter4 The Distribution of Prime Numbers
Chapter5 An Elementary Proof of the P.N.T
Chapter6 Dirichlet Series and Mellin Transforms
Chapter7 Inversion Formulas
Chapter8 The Riemann Zeta Function
Chapter9 Primes in Arithmetic Progressions
Chapter10 Applications of Characters
Chapter11 Oscillation Theorems
Chapter12 Sieves
Chapter13 Application of Sieves
Appendix A Results from Analysis and Algebra
Bibliography
Index of Names and Topics
Index of Symbols
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