One Kind New Hybrid Power Mean and Its Computational Formulae

Author:

Wang Li1,Wang Xuexia1ORCID

Affiliation:

1. Research Center for Number Theory and Its Applications, Northwest University, Xian 710127, China

Abstract

The main purpose of this study is to use the elementary and analytic methods and the properties of the classical Gauss sums to study the calculation problems of one kind of hybrid power mean involving the quadratic character sums and the two-term exponential sums and give an exact computational formula for it.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Mathematics

Reference25 articles.

1. A hybrid mean value involving two-term exponential sums and polynomial character sums

2. The fourth power mean of two-term exponential sums and its application;H. Zhang;Mathematical Reports,2017

3. On the fourth power mean of the generalized two-term exponential sums;T. T. Wang;Journal of Shanxi Normal University (Philosophy and Social Sciences edition),2021

4. On the sixth power mean of the two-term exponential sums

5. A hybrid power mean of the two-term exponential sums and the reciprocal of the quartic Gauss sums;W. P. Zhang;Bull. Math. Soc. Sci. Math. Roumanie,2019

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