On the High-Power Mean of the Generalized Gauss Sums and Kloosterman Sums

On the High-Power Mean of the Generalized Gauss Sums and Kloosterman Sums

The main aim of this paper is to use the properties of the trigonometric sums and character sums, and the number of the solutions of several symmetry congruence equations to research the computational problem of a certain sixth power mean of the generalized Gauss sums and generalized Kloosterman sum...

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Bibliographic Details
Main Authors: Xinyu Liu, Wenpeng Zhang
Format: Article
Language:English
Published: MDPI AG 2019-09-01
Series:Mathematics
Subjects:
symmetry congruence equation
generalized gauss sums
generalized kloosterman sums
sixth power mean
computational formula
Online Access:https://www.mdpi.com/2227-7390/7/10/907
Description
Summary:The main aim of this paper is to use the properties of the trigonometric sums and character sums, and the number of the solutions of several symmetry congruence equations to research the computational problem of a certain sixth power mean of the generalized Gauss sums and generalized Kloosterman sums, and to give two exact computational formulae for them.
ISSN:2227-7390

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