The hybrid power mean of quartic Gauss sums and Kloosterman sums

被引：21

作者：

Li Xiaoxue ^{[1
]}

Hu Jiayuan ^{[1
]}

机构：

[1] Northwest Univ Xian, Sch Math, Xian, Shaanxi, Peoples R China

来源：

OPEN MATHEMATICS | 2017年 / 15卷

关键词：

The quartic Gauss sums; Kloosterman sums; Classical Gauss sums; Fourth hybrid power mean; Computational formula;

D O I：

10.1515/math-2017-0014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main purpose of this paper is using the analytic method and the properties of the classical Gauss sums to study the computational problem of one kind fourth hybrid power mean of the quartic Gauss sums and Kloosterman sums, and give an exact computational formula for it.

引用

页码：151 / 156

页数：6

共 50 条

[21] ON THE HYBRID MEAN VALUE INVOLVING DEDEKIND SUMS AND KLOOSTERMAN SUMS
Ma Rong
Zhang Wenpeng
MATHEMATICA SLOVACA, 2015, 65 (03) : 463 - 472
[22] A hybrid mean value related to the Dedekind sums and Kloosterman sums
Zhang WenPeng
Liu YanNi
SCIENCE CHINA-MATHEMATICS, 2010, 53 (09) : 2543 - 2550
[23] A Hybrid Mean Value Related to the Dedekind Sums and Kloosterman Sums
Liu, Yan Ni
Zhang, Wen Peng
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2011, 27 (03) : 435 - 440
[24] A hybrid mean value related to the Dedekind sums and Kloosterman sums
WenPeng Zhang
YanNi Liu
Science China Mathematics, 2010, 53 : 2543 - 2550
[25] A hybrid mean value related to the Dedekind sums and Kloosterman sums
Yan Ni Liu
Wen Peng Zhang
Acta Mathematica Sinica, English Series, 2011, 27 : 435 - 440
[26] A hybrid mean value related to the Dedekind sums and Kloosterman sums
ZHANG WenPeng & LIU YanNi Department of Mathematics
ScienceChina(Mathematics), 2010, 53 (09) : 2543 - 2550
[27] On the hybrid mean value of Cochrane sums and generalized Kloosterman sums
Wang, Tingting
ACTA ARITHMETICA, 2012, 153 (02) : 191 - 197
[28] On the Hybrid Mean Value Involving Kloosterman Sums and Sums Analogous to Dedekind Sums
Han, Di
Zhang, Wenpeng
ABSTRACT AND APPLIED ANALYSIS, 2013,
[29] One kind power mean of the hybrid Gauss sums
Qi Lan
Zhang Wenpeng
OPEN MATHEMATICS, 2018, 16 : 531 - 538
[30] A HYBRID MEAN VALUE RELATED TO CERTAIN HARDY SUMS AND KLOOSTERMAN SUMS
Guo, Xiaoyan
Zhang, Wenpeng
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2011, 61 (03) : 759 - 769

← 1 2 3 4 5 →