2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80638The lectures are centered around three selected topics of quantum chaos: the Selberg trace formula, the two-point spectral correlation functions of Riemann zeta function zeros, and of the Laplace--Beltrami operator for the modular group. The lectures cover a wide range of quantum chaos applications and can serve as a non-formal introduction to mathematical methods of quantum chaos.Lectures given at Les Houches School "Frontiers in Number Theory, Physics and Geometry" March 2003Chaotic Dynamicstext