On the third moment of L(1/2, χd) I: The rational function field case

被引：13

作者：

Diaconu, Adrian ^{[1
]}

机构：

[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

来源：

JOURNAL OF NUMBER THEORY | 2019年 / 198卷

关键词：

Cubic moment; Quadratic Dirichlet L-functions; Rational function fields; Weyl group multiple Dirichlet series; MULTIPLE DIRICHLET SERIES; EISENSTEIN SERIES; INTEGRAL MOMENTS; CONJECTURES;

D O I：

10.1016/j.jnt.2018.09.023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we prove the existence of a secondary term in the asymptotic formula of the cubic moment of quadratic Dirichlet L-functions Sigma(d0-monic & sq. free deg d0) (= D) L(1/2, chi d(0))(3) over rational function fields on the order of q(3/4D). This term is in perfect analogy with the x(3/4)-term indicated in our joint work [18] for the corresponding asymptotic formula over the rationals. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：1 / 42

页数：42