An extension of Motohashi's observation on the zero-free region of the Riemann zeta-function

被引：1

作者：

Preobrazhenskii, Sergei N. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119991, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2012年 / 276卷 / 01期

关键词：

STEKLOV Institute; Dirichlet Series; Riemann Zeta Function; Divisor Function; Large Positive Constant;

D O I：

10.1134/S0081543812010191

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give an extension of Yoichi Motohashi's theorem saying that if the Riemann zeta-function on the line Re s = 1 attains very small values, then Vinogradov's zero-free region can be improved.

引用

页码：228 / 233

页数：6

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