Bounds for twisted symmetric square L-functions

被引：11

作者：

Munshi, Ritabrata ^{[1
]}

机构：

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

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2013年 / 682卷

关键词：

D O I：

10.1515/crelle-2012-0038

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f is an element of S-k (N, psi) be a newform, and let chi be a primitive character of conductor q(l). Assume that q is a prime and l > 1. In this paper we describe a method to establish convexity breaking bounds of the form L(1/2, Sym(2) f circle times chi) <<(f, epsilon) q(3/4l-delta l+epsilon) for some delta(l) > 0 and any epsilon > 0. In particular, for l = 3 we show that the bound holds with delta(l) = 1/4.

引用

页码：65 / 88

页数：24

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