Kloosterman sums and their applications: A review
This paper lists results, and explains some concepts and results, in the areas of automorphic forms (holomorphic as well as real analytic ones) for cofinite discrete groups of motions in the upper half plane, Kloosterman sums, Hecke operators, Selberg trace formula, Kuznetsov sum formula, representation of \(SL_2\) over the adeles. Its main usefulness seems to me that it gives this list, and pointers to the literature. In the introduction, the author states that Kloosterman sums are fundamental in quantum chaology. I have not found an explanation of this connection in the paper.
scientific article; zbMATH DE number 872696
scientific article