p-adic Dedekind and Hardy-Berndt type sum related to Volkenborn Integral on Z_p

Abstract

The purpose of this paper is to construct p-adic Dedekind sums and Hardy-Berndt type sums. We also construct generating function of the twisted Bernoulli polynomials and functions. Furthermore, we give some discussions on elliptic analogue of the Apostol-Dedekind sums.

4 pages

References in corpus (2)

• The Modified q-Euler numbers and polynomials
• A New approach to q-zeta function