Mean values with cubic characters

被引：38

作者：

Baier, Stephan ^{[1
]}

Young, Matthew P. ^{[2
]}

机构：

[1] Jacobs Univ, Sch Sci & Engn, D-28725 Bremen, Germany

[2] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

JOURNAL OF NUMBER THEORY | 2010年 / 130卷 / 04期

关键词：

Mean values; Cubic Dirichlet characters; Moments of L-functions; HECKE L-SERIES; PRIME ARGUMENTS; GAUSS SUMS; CURVES; TWISTS;

D O I：

10.1016/j.jnt.2009.11.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate various mean value problems involving order 3 primitive Dirichlet characters. in particular, we obtain an asymptotic formula for the first moment of central values of the Dirichlet L-functions associated to this family, with a power saving in the error term. We also obtain a large sieve-type result for order 3 (and 6) Dirichlet characters. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：879 / 903

页数：25

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