AN EXTREME VALUES OF THE FUNCTION S(T) IN SHORT INTERVALS

被引：0

作者：

Korolev, Maxim Aleksandrovich ^{[1
]}

机构：

[1] Russian Acad Sci, Steklov Math Inst, Gubkina Str 8, Moscow 119991, Russia

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2016年 / 47卷 / 04期

关键词：

Riemann zeta-function; extreme values; critical line; RIEMANN ZETA-FUNCTION; ARGUMENT;

D O I：

10.1007/s13226-016-0205-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain new estimates for the maximum and minimum of the argument of the Riemann zeta-function on very short segments of the critical line. These results are based on the Riemann hypothesis.

引用

页码：603 / 615

页数：13

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