2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63754We discuss analogies between number theory and the theory of dynamical systems on spaces with a one-codimensional foliation. The emphasis is on comparing the "explicit formulas" of analytic number theory with certain dynamical Lefschetz trace formulas. We also point out a possible relation between an Arakelov-Euler characteristic and an Euler characteristic in the sense of Connes. Finally the role of generalized solenoids as phase spaces in our picture is explained.Number TheoryDifferential GeometryDynamical Systems11-02; 11R42; 34C25; 37C27; 53C12; 58B34text