Abstract
Dedekind sums are well-studied arithmetic sums, with values uniformly distributed mod 1. Based on their relation to certain modular forms, Dedekind sums may be defined as functions on the cusp set of SL(2,Z). We present a compatible notion of Dedekind sums, which we name Dedekind symbols, for any non-cocompact lattice Γ<SL(2,R), and prove the corresponding equidistribution mod 1 result. The latter part builds up on a paper of Vardi, who first connected exponential sums of Dedekind sums to Kloosterman sums.
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