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On reciprocity formula of Apostol-Dedekind sum with quasi-periodic Euler functions (1508.02588v2)
Published 11 Aug 2015 in math.NT
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.