MEAN SQUARE FORMULA FOR THE DOUBLE ZETA-FUNCTION

被引：5

作者：

Kiuchi, Isao ^{[1
]}

Minamide, Makoto ^{[1
]}

机构：

[1] Yamaguchi Univ, Dept Math Sci, Fac Sci, Yoshida 1677-1, Yamaguchi 7538512, Japan

来源：

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2016年 / 55卷 / 01期

关键词：

double zeta-functions; mean square formula; Riemann zeta-function;

D O I：

10.7169/facm/2016.55.1.3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the mean square formula of the Euler-Zagier type double zeta-function zeta(2) (s(1), s(2)) and provide an improvement on the Omega results of Kiuchi, Tanigawa, and Zhai. We also calculate the double integral integral(N)(2) integral(T)(2) vertical bar zeta(2) (s(1), s(2))vertical bar(2) dt(1)dt(2) under certain conditions.

引用

页码：31 / 43

页数：13

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