SIMPLE ZEROS OF THE RIEMANN ZETA-FUNCTION

被引：17

作者：

CHEER, AY

GOLDSTON, DA

机构：

[1] UNIV CALIF DAVIS,INST THEORET DYNAM,DAVIS,CA 95616

[2] SAN JOSE STATE UNIV,DEPT MATH & COMP SCI,SAN JOSE,CA 95192

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 118卷 / 02期

关键词：

D O I：

10.2307/2160310

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Assuming the Riemann Hypothesis, Montgomery and Taylor showed that at least 67.25% of the zeros of the Riemann zeta-function are simple. Using Montgomery and Taylor's argument together with an elementary combinatorial argument, we prove that assuming the Riemann Hypothesis at least 67.275% of the zeros are simple.

引用

页码：365 / 372

页数：8

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