On reciprocity formula of Apostol-Dedekind sum with quasi-periodic Euler functions

2015/08/11 by Su Hu, Daeyeoul Kim, Hu, Su +3
Mathematics · #11B68 #11F20 #65B15 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT) #math.NT #msc:11B68 #msc:11F20 #msc:65B15

paper · pdf · doi:10.48550/arxiv.1508.02588

15 pages

openalex publication_date 2015/08/11 · arxiv created 2015/08/25 · arxiv updated 2015/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Apostol-Dedekind sum with quasi-periodic Euler functions is an analogue of Apostol's definition of the generalized Dedekind sum with periodic Bernoulli functions. In this paper, using the Boole summation formula, we shall obtain the reciprocity formula for this sum.

Citations

• Note on on Dedekind type DC sums

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