On the Hybrid Mean Value Involving Kloosterman Sums and Sums Analogous to Dedekind Sums

Abstract

The main purpose of this paper is using the properties of Gauss sums and the mean value theorem of Dirichlet $L$-functions to study one kind of hybrid mean value problems involving Kloosterman sums and sums analogous to Dedekind sums and give two exact computational formulae for them.