Distribution of Dirichlet L-functions

被引：1

作者：

Dong, Zikang ^{[1
]}

Wang, Weijia ^{[2
,3
]}

Zhang, Hao ^{[4
,5
]}

机构：

[1] Tongji Univ, Sch Math Sci, Shanghai, Peoples R China

[2] Tsinghua Univ, Yanqi Lake Beijing Inst Math Sci & Applicat, Beijing, Peoples R China

[3] Tsinghua Univ, Yau Math Sci Ctr, Beijing, Peoples R China

[4] Hunan Univ, Sch Math, Changsha, Peoples R China

[5] Hunan Univ, Sch Math, Changsha 410082, Peoples R China

来源：

MATHEMATIKA | 2023年 / 69卷 / 03期

关键词：

EXTREME VALUES; ZETA;

D O I：

10.1112/mtk.12205

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the distribution of values of Dirichlet L-functions, the distribution of values of the random models for Dirichlet L-functions, and the discrepancy between these two kinds of distributions. For each question, we consider the cases of 12<Res<1$\frac{1}{2}<\operatorname{Re}s<1$ and Res=1$\operatorname{Re}s=1$ separately.

引用

页码：719 / 750

页数：32

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