On Karatsuba's problem related to Gram's law

被引：2

作者：

Korolev, M. A. ^{[1
]}

机构：

[1] Russian Acad Sci, Steklov Math Inst, Moscow 119991, Russia

来源：

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

基金：

俄罗斯基础研究基金会;

关键词：

RIEMANN ZETA-FUNCTION; ZEROS; ARGUMENT;

D O I：

10.1134/S0081543812010130

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A number of new results related to Gram's law in the theory of the Riemann zetafunction are proved. In particular, a lower bound is obtained for the number of ordinates of the zeros of the zeta-function that lie in a given interval and satisfy Gram's law.

引用

页码：156 / 166

页数：11

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