The generalized quadratic Gauss sums and its sixth power mean-Reference-Cited by-同舟云学术

The generalized quadratic Gauss sums and its sixth power mean

Published:2021 Issue:10 Volume:6 Page:11275-11285
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Lv Xingxing, ,Zhang Wenpeng

Abstract

<abstract><p>In this article, we using elementary methods, the number of the solutions of some congruence equations and the properties of the Legendre's symbol to study the computational problem of the sixth power mean of a certain generalized quadratic Gauss sums, and to give an exact calculating formula for it.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference9 articles.

1. A. Weil, On some exponential sums, Proc. Nat. Acad. Sci. U.S.A., 34 (1948), 203-210.

2. C. D. Pan, C. B. Pan, Goldbach Conjecture, Beijing: Science Press, 1992.

3. D. Han, A Hybrid mean value involving two-term exponential sums and polynomial character sums, Czechoslovak Math. J., 64 (2014), 53-62.

4. H. Zhang, W. P. Zhang, The fourth power mean of two-term exponential sums and its application, Math. Rep., 19 (2017), 75-81.

5. S. Chern, On the power mean of a sum analogous to the Kloosterman sum, Bull. Math. Soc. Sci. Math. Roumanie., 62 (2019), 77-92.

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