《黎曼ZETA函数理论》PDF下载

  • 购买积分:15 如何计算积分?
  • 作  者:(英)E.C.蒂奇玛什著
  • 出 版 社:哈尔滨:哈尔滨工业大学出版社
  • 出版年份:2017
  • ISBN:9787560366340
  • 页数:477 页
图书介绍:本书主要继承了作者本人的剑桥小册子The Zeta-function of Riemann。本书内容主要包括:ζ(s)函数和狄利克雷级数的关系,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等。本书适合数学专业人士和数学爱好者参考阅读。

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

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

Chapter Ⅲ.THE THEOREM OF HADAMARD AND DE LA VALL?E POUSSIN AND ITS CONSEQUENCES 46

Chapter Ⅲ.APPROXIMATE FORMULAE 72

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

Chapter Ⅵ.VINOGRADOV'S METHOD 124

Chapter Ⅶ.MEAN-VALUE THEOREMS 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 LINDEL?F 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