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