A relation between Dedekind sums and Kloosterman sums (Q1091420)

As in the title, this paper gives an explicit connection between certain Kloosterman sums coming from arbitrary cofinite subgroups of \(\mathrm{PSL}(2,\mathbb Z)\) and classical Dedekind sums. From this relationship, and bounds on sums of Kloosterman sums given by \textit{D. Goldfeld} and \textit{P. Sarnak} [Invent. Math. 71, 243--250 (1983; Zbl 0507.10029)], the author (with G. Myerson) shows that the fractional parts of arbitrary (real) multiples of Dedekind sums are uniformly distributed in the interval \([0,1)\).