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.
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页码：168 / 184
页数：17
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