On the Hybrid Power Mean Involving the Two-Term Exponential Sums and Polynomial Character Sums

Abstract

The main purpose of this paper is using the analytic method and the properties of trigonometric sums and character sums to study the computational problem of one kind hybrid power mean involving two-term exponential sums and polynomial character sums. Then the authors give some interesting calculating formulae for them.

Keywords

The two-term exponential sums / Kloosterman sums / Dirichlet character of polynomials / Hybrid power mean / Identity