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.
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页数：47
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