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

被引：4

作者：

Sharma, Prahlad ^{[1
]}

Sawin, Will ^{[2
]}

机构：

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

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

来源：

ADVANCES IN MATHEMATICS | 2022年 / 404卷

基金：

美国国家科学基金会;

关键词：

Subconvexity; GL(3) x GL(2) twists; L functions; Automorphic forms; Delta method; SELBERG L-FUNCTIONS; CIRCLE METHOD; HYBRID BOUNDS; SQUARE;

D O I：

10.1016/j.aim.2022.108420

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

引用

页数：47

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