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

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

2007-07-25

arxiv.org/abs/0707.3667v1

Mathematics

Number Theory

4 pages

Scientific paper

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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