On reciprocity formula of Apostol-Dedekind sum with quasi-periodic Euler functions
Number Theory
2015-08-26 v2
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.
Keywords
Cite
@article{arxiv.1508.02588,
title = {On reciprocity formula of Apostol-Dedekind sum with quasi-periodic Euler functions},
author = {Su Hu and Daeyeoul Kim and Min-Soo Kim},
journal= {arXiv preprint arXiv:1508.02588},
year = {2015}
}
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15 pages