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.
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页码：1 / 42
页数：42
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