2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62577Assuming some regularity of the dynamical zeta function, we establish an explicit formula with an error term for the prime orbit counting function of a suspended flow. We define the subclass of self-similar flows, for which we give an extensive analysis of the error term in the corresponding prime orbit theorem.Spectral TheoryA Prime Orbit Theorem for Self-Similar Flows and Diophantine Approximationtext