FOURIER COEFFICIENTS ASSOCIATED WITH THE RIEMANN ZETA-FUNCTION

被引：1

作者：

Basiuk, Y., V ^{[1
]}

Tarasyuk, S., I ^{[1
]}

机构：

[1] Ivan Franko Natl Univ, 1 Univ Ska Str, UA-79000 Lvov, Ukraine

来源：

CARPATHIAN MATHEMATICAL PUBLICATIONS | 2016年 / 8卷 / 01期

关键词：

Fourier coefficients; the Riemann zeta-function; Riemann;

D O I：

10.15330/cmp.8.1.16-20

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the Riemann zeta-function zeta(s) by a Fourier series method. The summation of log vertical bar zeta(s)vertical bar with the kernel 1/vertical bar s vertical bar(6) on the critical line Re s = 1/2 is the main result of our investigation. Also we obtain a new restatement of the Riemann Hypothesis.

引用

页码：16 / 20

页数：5

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