解析数论入门教程 本书特色

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.

解析数论入门教程 目录

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

自然科学 数学 数学理论

在线阅读