Reciprocity and the Kernel of Dedekind Sums

2021/10/23 by LaBelle, Alexis, Van Bergeyk, Emily, Young, Matthew P.
#11F20 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2110.12269

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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