English

Some arithmetic properties of an elliptic Dedekind sum

Number Theory 2019-04-16 v2

Abstract

We give an explicit expression of the elliptic classical Dedekind sum which is a special case of multiple elliptic Dedekind sums introduced by Egami. We also determine the denominator of the rational part and zeros of the elliptic classical Dedekind sum.

Keywords

Cite

@article{arxiv.1903.12200,
  title  = {Some arithmetic properties of an elliptic Dedekind sum},
  author = {Genki Shibukawa},
  journal= {arXiv preprint arXiv:1903.12200},
  year   = {2019}
}

Comments

16 pages

R2 v1 2026-06-23T08:22:34.826Z