黎曼ZETA函数理论（英文版）

　　本书主要继承了作者本人的剑桥小册子The Zeta—function of Riemann的内容.本书内容主要包括：ζ（s）函数，狄利克雷级数与ζ（s）函数的关系，ζ（s）函数的分析特点，函数方程，近似公式，ζ（s）函数在临界带的次序.

暂缺《黎曼ZETA函数理论（英文版）》作者简介

【目    录】

Chapter Ⅰ. THE FUNCTIONζ(s) AND THE DIRICHLET SERIES RELATED TO IT//1

Chapter Ⅱ. THE ANALYTIC CHARACTER OFζ(s) AND THE FUNCTIONAL EQATION//13

Chapter Ⅲ. THE THEOREM OF HADAMARD AND DE LA BALIEE POUSSIN AND ITS CONSEQUENCES//46

Chapter Ⅳ. APPROXIMATE FORMULAE//72

Chapter Ⅴ. THE ORDER OFζ(s) IN THE CRITICAL STRIP//98

Chapter Ⅵ. VINOGRADOV’S METHOD//124

Chapter Ⅶ. MEAN-VALUE YHEOREMS//144

Chapter Ⅷ. Ω THEOREMS//192

Chapter Ⅸ. THE GENERAL DISTRIBUTION OF THE ZEROS//221

Chapter Ⅹ. THE ZEROS ON THE CRITICAL LINE//269

Chapter Ⅺ. THE GENERAL DISTRIBUTION OF THE VALUES OFζ(s)//310

Chapter Ⅻ. DIVISOR PROBLEMS//331

Chapter ⅩⅢ. THE LINDELÖF HYPOTHESIS//349

Chapter ⅩⅣ. CONSEQUENCES OF THE RIEMANN HYPOTHESIS//359

Chapter ⅩⅤ. CALCULATIONS RELATING TO THE ZEROS//416

REFERENCES//421

编辑手记//454