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

2007/07/25 by Yılmaz Şimşek, Yilmaz Simsek, Simsek, Yilmaz
Mathematics · #11B68 #11S80 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11B68 #msc:11S80

paper · pdf · doi:10.48550/arxiv.0707.3667

4 pages

arxiv created 2007/07/25 · openalex publication_date 2007/07/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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