2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138243We point out analogies between (a) the explicit formulas in analytic number theory and transversal index theory, (b) Lichtenbaum's recent conjectures on special values of Hasse-Weil zeta functions and a formula for special values of Ruelle zeta functions, (c) work of Cramer on the zeroes of the Riemann zeta function and a result of Chazarain on the trace of a wave operator. These analogies suggest certain problems in the analysis on foliated spaces. The paper is mostly a review of previous work but the ideas concerning (c) are new.to appear in a conference volume in honour of Hermann WeylNumber TheoryDynamical Systems11-02; 11R42; 34C25; 37C27; 53C12; 58B34text