On the Hybrid Mean Value of Generalized Dedekind Sums, Generalized Hardy Sums and Kloosterman Sums

Abstract

The main purpose of this paper is to study the hybrid mean value problem involving generalized Dedekind sums, generalized Hardy sums and Kloosterman sums, and give some exact computational formulae for them by using the properties of Gauss sums and the mean value theorem of the Dirichlet L-function.