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
收藏
页码：365 / 372
页数：8
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