On the hybrid mean value of generalized Dedekind sums, generalized Hardy sums and Ramanujan sum: Muhammet Cihat Dagli, 325-333

Abstract:

In this paper, by using the properties of Dirichlet $L-$functions, we discuss a hybrid mean value problem involving generalized Dedekind sums, certain generalized Hardy sums and Ramanujan sum that had previously not been considered. We give several exact computational formulas, which generalize some conclusions of this context.

Key Words: Dedekind sum, Hardy sum, computational problem, Ramanujan sum, Gauss sum, hybrid mean value.

2010 Mathematics Subject Classification: Primary 11F20; Secondary 11L05, 11L10.