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

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 Poincaré series.

14 pages