One Kind Special Gauss Sums and their Mean Square Values

Author:

Zhao Jianhong1,Gao Jiejie2ORCID

Affiliation:

1. Department of Public Basic Courses, West Yunnan University of Applied Sciences, Dali, Yunnan, China

2. School of Mathematics, Northwest University, Xi’an, Shaanxi, China

Abstract

In this paper, we introduce one kind special Gauss sums; then, using the elementary and analytic methods to study the mean value properties of these kind sums, we obtain several exact calculating formulae for them.

Funder

N. S .F.

Publisher

Hindawi Limited

Subject

General Mathematics

Reference18 articles.

1. A linear recurrence formula involving cubic Gauss sums and kloosterman sums;L. Chen;Acta Mathematica Sinica, Chinese Series,2018

2. On the fourth-order linear recurrence formula related to classical gauss sums;Z. Y. Chen;Open Mathematics,2017

3. On Classical Gauss Sums and Some of Their Properties

4. The linear recurrence formula of the hybrid power mean involving the cubic gauss sums and two-term exponential sums;Y. Y. Liu;Journal of Shaanxi Normal University (Natural Science Edition),2017

5. A note on the fourth power mean of the two-term exponential sums;X. Wang;Acta Mathematica Sinica, Chinese Series,2019

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