The hybrid power mean of the generalized Gauss sums and the generalized two-term exponential sums

Abstract

This article applied the properties of character sums, quadratic character, and classical Gauss sums to study the calculations of the hybrid power mean of the generalized Gauss sums and the generalized two-term exponential sums. It also provided exact formulas for calculating these hybrid power means.

Keywords

• two-term exponential sums
• character sums
• the generalized gauss sums