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.
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页数：47
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