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