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

共 50 条

[21] On twists of cuspidal representations of GL(2)
Lapid, E
Rogawski, J
FORUM MATHEMATICUM, 1998, 10 (02) : 175 - 197
[22] The circle method and bounds for L-functions - IV: Subconvexity for twists of GL(3) L-functions
Munshi, Ritabrata
ANNALS OF MATHEMATICS, 2015, 182 (02) : 617 - 672
[23] SHIFTED CONVOLUTION SUMS FOR GL(3) x GL(2)
Munshi, Ritabrata
DUKE MATHEMATICAL JOURNAL, 2013, 162 (13) : 2345 - 2362
[24] The archimedean zeta integrals for GL(3) x GL(2)
Hirano, Miki
Ishii, Taku
Miyazaki, Tadashi
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2016, 92 (02) : 27 - 32
[25] A shifted convolution sum for GL(3) x GL(2)
Xi, Ping
FORUM MATHEMATICUM, 2018, 30 (04) : 1013 - 1027
[26] QUADRATIC TWISTS OF CENTRAL VALUES FOR GL(3)
Kuan, Chan Ieong
Lesesvre, Didier
QUARTERLY JOURNAL OF MATHEMATICS, 2022, 73 (03): : 991 - 1034
[27] Averages of shifted convolution sums for GL(3) x GL(2)
Sun, Qingfeng
JOURNAL OF NUMBER THEORY, 2018, 182 : 344 - 362
[28] Subconvexity for twisted GL3 L-functions
Kiral, Eren Mehmet
Kuan, Chan Ieong
Lesesvre, Didier
ACTA ARITHMETICA, 2022, 202 (03) : 281 - 302
[29] Bounds for GL(3) x GL(2) L-functions and GL(3) L-functions
Li, Xiaoqing
ANNALS OF MATHEMATICS, 2011, 173 (01) : 301 - 336
[30] Simultaneous non-vanishing of GL(3) X GL(2) and GL(2) L-functions
Khan, Rizwanur
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2012, 152 : 535 - 553

← 1 2 3 4 5 →