ON THE GENERAL QUADRATIC GAUSS SUMS WEIGHTED BY CHARACTER SUMS OVER A SHORT INTERVAL

被引：0
|
作者：
Zhang, Tianping [1 ]
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2013年 / 50卷 / 03期
基金：
中国国家自然科学基金;
关键词：
quadratic Gauss sums; character sums; mean value;
D O I：
10.4134/BKMS.2013.50.3.873
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By using the analytic methods, the mean value of the general quadratic Gauss sums weighted by the first power mean of character sums over a short interval is investigated. Several sharp asymptotic formulae are obtained, which show that these sums enjoy good distributive properties. Moreover, interesting connections among them are established.
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页码：873 / 883
页数：11
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