Reciprocity and the Kernel of Dedekind Sums
Number Theory
2026-05-06 v1
Abstract
We use the action of Atkin-Lehner operators to generate a family of reciprocity formulas for newform Dedekind sums. This family of reciprocity formulas provides symmetries which we use to investigate the kernel of these Dedekind sums.
Cite
@article{arxiv.2110.12269,
title = {Reciprocity and the Kernel of Dedekind Sums},
author = {Alexis LaBelle and Emily Van Bergeyk and Matthew P. Young},
journal= {arXiv preprint arXiv:2110.12269},
year = {2026}
}
Comments
9 pages, 2 figures