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 ${\text{PSL}}_2(\mathbb{C})$ using Poincaré series.