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arXiv · 1508.02588

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

Su Hu·Daeyeoul Kim·Min-Soo Kim
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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.

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Su Hu, Daeyeoul Kim, Min-Soo Kim. 2015-08-11. On reciprocity formula of Apostol-Dedekind sum with quasi-periodic Euler functions. https://arxiv.org/abs/1508.02588

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