On the general trigonometric sums weighted by character sums

被引：1
|
作者：
Tian, Qing [1 ]
Yang, Wei [1 ]
Ding, Liping [1 ]
机构：
[1] Xian Univ Architecture & Technol, Sch Sci, Xian 710055, Shaanxi, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 268卷
基金：
中国国家自然科学基金;
关键词：
Character sums; General trigonometric sums; Asymptotic formula; INDEX; POWER; GRAPHS; ENERGY; EXTREMALITY; DENDRIMERS; BOUNDS;
D O I：
10.1016/j.amc.2015.06.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main purpose of this paper is using the estimates for character sums and the mean value properties of Dirichlet L-function to study the hybrid mean value properties of the general trigonometric sums, which is weighted by the 2kth and first power mean of character sums in [1, p/4). The two sharp asymptotic formulae are derived and some interesting connections between these sums are established . (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：375 / 387
页数：13
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