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

页码：375 / 387

页数：13

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