Reciprocity and the Kernel of Dedekind Sums
arXiv:2110.12269 · doi:10.1007/s40993-023-00484-4
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.
9 pages, 2 figures