The Limiting Distribution of Elliptic Dedekind Sums
Number Theory
2026-04-21 v1
Abstract
We consider elliptic Dedekind sums that were introduced by Sczech as generalizations of the classical ones to complex lattices. We prove that these sums -- suitably normalized -- have a Gaussian limiting distribution. As an application, we prove a conjecture due to Ito.
Keywords
Cite
@article{arxiv.2604.17077,
title = {The Limiting Distribution of Elliptic Dedekind Sums},
author = {Matteo Bordignon and Paolo Minelli},
journal= {arXiv preprint arXiv:2604.17077},
year = {2026}
}
Comments
41 pages, 7 figures