The twisted moments and distribution of values of Dirichlet L-functions at 1

被引：4

作者：

Lee, Seok Hyeong ^{[1
]}

Lee, Seungjai ^{[2
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

[2] Univ Oxford, Math Inst, Oxford OX2 6GG, England

来源：

JOURNAL OF NUMBER THEORY | 2019年 / 197卷

关键词：

L-function; Dirichlet character; Distribution; Random models; Moments; MEAN-VALUES; QUADRATIC MOMENT; AVERAGE;

D O I：

10.1016/j.jnt.2018.08.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we seek to evaluate the most general form of moments of L(1, chi) twisted by character value chi(c) as chi ranges over non-principal Dirichlet characters mod f. And we use this result to model the joint distribution for chi(c) and L(1, chi). (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：168 / 184

页数：17

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