Ratios of Artin L-functions

被引：0

作者：

Hochfilzer, Leonhard ^{[1
]}

Oliver, Thomas ^{[2
]}

机构：

[1] Math Inst, Bunsenstr 3-5, D-37073 Gottingen, Germany

[2] Univ Nottingham, Sch Math Sci, Univ Pk, Nottingham NG7 2RD, England

来源：

JOURNAL OF NUMBER THEORY | 2022年 / 236卷

基金：

英国工程与自然科学研究理事会;

关键词：

Zeros of L-functions; Maass forms; Riemann zeta function; Converse theorems; DISTINCT ZEROS;

D O I：

10.1016/j.jnt.2021.07.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the cancellation of zeros between the Riemann zeta function and certain Artin L-functions. To do so, we develop a converse theorem for Maass forms of Laplace eigenvalue 1/4 in which the twisted L-functions are not assumed to be entire. We do not require the conjectural automorphy of Artin Lfunctions, only their established meromorphic continuation and functional equation. (c) 2021 Elsevier Inc. All rights reserved.

引用

页码：1 / 40

页数：40

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