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

Abstract

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.

Keywords

• symmetry congruence equation
• generalized gauss sums
• generalized kloosterman sums
• sixth power mean
• computational formula