The hybrid power mean involving the Kloosterman sums and Dedekind sums

Abstract Kloosterman sums and Dedekind sums are two important sums in analytic number theory, the study of their various properties is a very interesting subject. The primary objective of this article is used the analytical methods and the properties of L -functions to examine and interpret the calculating problems of a particular type hybrid power mean involving the classical Kloosterman sums and Dedekind sums, and provide several new and intrinsically intriguing mean value formulae for them.