Bounds for twisted symmetric square L-functions-III

被引：11

作者：

Munshi, Ritabrata ^{[1
]}

机构：

[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India

来源：

ADVANCES IN MATHEMATICS | 2013年 / 235卷

关键词：

Symmetric square L-functions; Subconvexity; Twists; SERIES;

D O I：

10.1016/j.aim.2012.11.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f be a Hecke modular form, and let chi be a primitive character of conductor q(l). Assume that q is an odd prime. In this paper we prove the subconvex bound L(1/2, Sym(2) f circle times chi) << f,q,epsilon,q(3l(1/4) (-) (1/36+epsilon)) for any epsilon > 0. This can be compared with the recently established t-aspect subconvexity of the symmetric square L-functions. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：74 / 91

页数：18

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