2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75311The Weil conjecture is a delightful theorem for algebraic varieties on finite fields and an important model for dynamical zeta functions. In this paper, we prove a functional equation of Lefschetz zeta functions for infinite cyclic coverings which is analogous to the Weil conjecture. Applying this functional equation to knot theory, we obtain a new view point on the reciprocity of the Alexander polynomial of a knot.11 pagesGeometric TopologyDynamical Systems57M27; 37C30text