A remark on the uniqueness of the Dirichlet series with a Riemann-type function equation

被引：21

作者：

Ki, Haseo ^{[1
,2
]}

机构：

[1] Yonsei Univ, Dept Math, Seoul 120749, South Korea

[2] Korea Inst Adv Study, Seoul, South Korea

来源：

ADVANCES IN MATHEMATICS | 2012年 / 231卷 / 05期

基金：

新加坡国家研究基金会;

关键词：

The Selberg class; The extended Selberg class; Uniqueness of L-functions;

D O I：

10.1016/j.aim.2012.07.027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that if for a nonzero complex number c the inverse images L-1(-1) (c) and L-2(-1) (c) of two functions in the extended Selberg class are the same, then L-1(s) and L-2(s) must be identical. (c) 2012 Elsevier Inc. All rights reserved.

引用

页码：2484 / 2490

页数：7

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