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arXiv · 2110.12269

Reciprocity and the Kernel of Dedekind Sums

Alexis LaBelle·Emily Van Bergeyk·Matthew P. Young
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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.

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Alexis LaBelle, Emily Van Bergeyk, Matthew P. Young. 2021-10-23. Reciprocity and the Kernel of Dedekind Sums. https://doi.org/10.1007/s40993-023-00484-4

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