解析数论入门教程(英文)

发布者:刘威发布时间:2018-05-11浏览次数:1565

【目  录】

Foreword

Preface

Chapter 1 Introduction//1

Chapter 2 Calculus of Arithmetic Functions//13

Chapter 3 Summatory Functions//39

Chapter 4 The Distribution of Prime Numbers//71

Chapter 5 An Elementary Proof of the P.N.T//87

Chapter 6 Dirichlet Series and Mellin Transforms//109

Chapter 7 Inversion Formulas//141

Chapter 8 The Riemann Zeta Function//183

Chapter 9 Primes in Arithmetic Progressions//221

Chapter 10 Applications of Characters//237

Chapter 11 Oscillation Theorems//261

Chapter 12 Sieves//289

Chapter 13 Application of Sieves//313

Appendix A Results from Analysisi and Algebra//339

Bibliography//353

Index of Names and Topics//355

Index of Symbols//359