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.

引用

页码：873 / 883

页数：11

共 50 条

[31] Character sums over generalized Lehmer numbers [J].

Ma, Yuankui ;

Chen, Hui ;

Qin, Zhenzhen ;

Zhang, Tianping .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,

[32] Character sums over affine spaces and applications [J].

Reis, Lucas .

FINITE FIELDS AND THEIR APPLICATIONS, 2022, 83

[33] Character sums over generalized Lehmer numbers [J].

Yuankui Ma ;

Hui Chen ;

Zhenzhen Qin ;

Tianping Zhang .

Journal of Inequalities and Applications, 2016

[34] DOUBLE CHARACTER SUMS OVER SUBGROUPS AND INTERVALS [J].

Chang, Mei-Chu ;

Shparlinski, Igor E. .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2014, 90 (03) :376-390

[35] Mean value of the Hardy sums over short intervals [J].

Liu, Lei ;

Xu, Zhefeng .

AIMS MATHEMATICS, 2020, 5 (06) :5551-5563

[36] A Polya-Vinogradov inequality for short character sums [J].

Bordignon, Matteo .

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2021, 64 (04) :906-910

[37] A note on the 2k-th power mean of character sums over the quarter interval [J].

Xu, Zhefeng .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (12) :4175-4184

[38] Burgess bounds for short character sums evaluated at forms [J].

Pierce, Lillian B. ;

Xu, Junyan .

ALGEBRA & NUMBER THEORY, 2020, 14 (07) :1911-1951

[39] Mean values of generalized Dedekind sums over short intervals [J].

Liu, Lei ;

Xu, Zhefeng ;

Wang, Ni .

ACTA ARITHMETICA, 2020, 193 (01) :95-108

[40] Index bounds for character sums of polynomials over finite fields [J].

Wan, Daqing ;

Wang, Qiang .

DESIGNS CODES AND CRYPTOGRAPHY, 2016, 81 (03) :459-468

← 1 2 3 4 5 →