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arXiv · 0707.3667

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

Yilmaz Simsek
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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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Yilmaz Simsek. 2007-07-25. p-adic Dedekind and Hardy-Berndt type sum related to Volkenborn Integral on Z_p. https://arxiv.org/abs/0707.3667

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