Two Kinds Hybrid Power Mean Involving Two-Term Exponential Sums and Dedekind Sums

The main purpose of this article is using the analytic mathods and the quadratic residual transformation technique, and properties of Dedekind sums to study the calculating problem of two kinds hybrid power mean involving the two-term exponential sums and Dedekind sums, and give two asymptotic formulas for it. This work is a generalization for existing conclusions.