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

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 Poincaré series.

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Bibliographic Details
Published in:arXiv.org 2024-01
Main Authors: Klinger-Logan, Kim, Tian An Wong
Format: Article
Language:English
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Summary: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 Poincaré series.
ISSN:2331-8422