Universality of Artin L-functions in conductor aspect

被引：1

作者：

Cho, Peter J. ^{[1
]}

Kim, Henry H. ^{[2
,3
]}

机构：

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

[2] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada

[3] Korea Inst Adv Study, Seoul, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 456卷 / 01期

基金：

加拿大自然科学与工程研究理事会; 新加坡国家研究基金会;

关键词：

Universality; Artin L-function;

D O I：

10.1016/j.jmaa.2017.06.076

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the universality of Artin L-functions associated to a certain family of number fields in conductor aspect. When s = 1 + it and s = 1, our result is unconditional. In the critical strip, we assume a conjecture on large sieve inequality of Artin L-functions, or GRH. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：34 / 56

页数：23

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