A note on q-analogues of Dirichlet series

被引：12

作者：

Tsumura, H ^{[1
]}

机构：

[1] Tokyo Metropolitan Coll, Dept Management, Akishima, Tokyo 1968540, Japan

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 1999年 / 75卷 / 03期

关键词：

dirichlet series; 4-analogue; q-Bernoulli numbers;

D O I：

10.3792/pjaa.75.23

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we study the q-Dirichlet series Z(q)(s) which was evaluated at nonpositive integers by Satoh. We consider the values of Z(q)(s) at positive integers. By letting q --> 1, we get the Euler formulas for zeta(2k) and the recent formulas for zeta(2k+1) given by Cvijovic-Klinowski. We also consider the relation between Z(q)(s) and Jackson's q-Gamma-function.

引用

页码：23 / 25

页数：3

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