Subconvexity for GL(3) x GL(2) twists

被引：0

作者：

Sharma, Prahlad ^{[1
]}

Sawin, Will ^{[2
]}

机构：

[1] Tata Inst Fundamental Res, Sch Math, Mumbai, Maharashtra, India

[2] Columbia Univ, Dept Math, 2990 Broadway, New York, NY 10027 USA

来源：

ADVANCES IN MATHEMATICS | 2022年 / 404卷

关键词：

Subconvexity; GL(3) xGL(2) twists; Lfunctions; Automorphic forms; Delta method;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let pi be a SL(3, Z) Hecke-Maass cusp form, f be a SL(2, Z) holomorphic cusp form or Maass cusp form and chi be any non-trivial character modp, where pis prime. We show that the L-functionassociated with this triplet satisfy L(1/2, pi x f x chi) <<(pi,f,is an element of) p(3/2-1/16+is an element of) The method also yields the subconvex bound L(1/2, pi circle times chi) <<(pi,is an element of) p(3/4-1/32 +is an element of) (c) 2022 Elsevier Inc. All rights reserved.

引用

页数：47

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