Periods and global invariants of automorphic representations

被引：0

作者：

Bernstein, Joseph ^{[1
]}

Reznikov, Andre ^{[2
]}

机构：

[1] Tel Aviv Univ, Sch Math, IL-69978 Ramat Aviv, Israel

[2] Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel

来源：

JOURNAL OF NUMBER THEORY | 2023年 / 243卷

基金：

美国国家科学基金会;

关键词：

Automorphic representations; L-functions; Periods; Co-invariants; WALDSPURGER CORRESPONDENCE; BESSEL IDENTITIES; MEROMORPHY;

D O I：

10.1016/j.jnt.2022.07.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider periods of automorphic representations of adele groups defined by integrals along Gelfand subgroups. We define natural maps between local components of such periods and construct corresponding global maps using automorphic L-functions. This leads to an introduction of a global invariant of an automorphic representation arising from two such periods. We compute this invariant in some cases.(c) 2022 Elsevier Inc. All rights reserved.

引用

页码：117 / 159

页数：43

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