Estimates of automorphic L-functions in the discriminant-aspect

被引：1

作者：

Kaminishi, C ^{[1
]}

机构：

[1] Keio Univ, Dept Math, Kohoku Ku, Yokohama, Kanagawa 2238522, Japan

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2004年 / 80卷 / 05期

关键词：

automorphic form; Maass form; convexity bound;

D O I：

10.3792/pjaa.80.42

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let L(s, phi) be an automorphic L-function for a Bianchi group defined via an imaginary quadratic field with discriminant d < 0. We give an upper bound for the absolute value of L(s, phi) in terms of F(s), the Laplace eigenvalue and the discriminant d. The bound as d --> infinity presents a new aspect in the study of L-functions.

引用

页码：42 / 46

页数：5

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