內容簡介

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.

目錄

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