n-level densities for twisted cubic Dirichlet L-functions

被引：2

作者：

Cho, Peter J. ^{[1
]}

Park, Jeongho ^{[1
]}

机构：

[1] Ulsan Natl Inst Sci & Technol, Dept Math Sci, Ulsan, South Korea

来源：

JOURNAL OF NUMBER THEORY | 2019年 / 196卷

基金：

新加坡国家研究基金会;

关键词：

Cubic characters; n-level density; Automorphic representation; LOW-LYING ZEROS; FAMILIES;

D O I：

10.1016/j.jnt.2018.09.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For any given cuspidal representation pi of GL(m)(A(Q)), we consider the family of automorphic L-functions L(s, pi x chi) twisted by cubic Dirichlet characters. We compute the n-level density for this family and confirm that it agrees with unitary type U. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：139 / 155

页数：17

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