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

Published 31 Jan 2024 in math.NT | (2402.00165v1)

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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