Asymptotic series for double zeta, double gamma, and Hecke L-functions

被引：30

作者：

Matsumoto, K ^{[1
]}

机构：

[1] Nagoya Univ, Grad Sch Polymath, Chikusa Ku, Nagoya, Aichi 46401, Japan

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 1998年 / 123卷

关键词：

D O I：

10.1017/S0305004197002168

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Asymptotic expansions of the Barnes double zeta-function m=0 Sigma infinity n=0 Sigma infinity (alpha+m+nw)(-v) and the double gamma-function Gamma(2)(alpha, (1,w)), with respect to the parameter w, are proved. An application to Hecke L-functions of real quadratic fields is also discussed.

引用

页码：385 / 405

页数：21

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