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arXiv · 2402.00165

The equidistribution of Elliptic Dedekind sums and generalized Selberg-Kloosterman sums

Kim Klinger-Logan·Tian An Wong
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Abstract

We show that the values of elliptic Dedekind sums, after normalization, are equidistributed mod 1. The key ingredient is a non-trivial bound on generalized Selberg-Kloosterman sums for discrete subgroups of $\PSL_2(\mathbb C)$ using Poincar\'e series.

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Kim Klinger-Logan, Tian An Wong. 2024-01-31. The equidistribution of Elliptic Dedekind sums and generalized Selberg-Kloosterman sums. https://arxiv.org/abs/2402.00165

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