2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106166We consider zeta functions with values in the Grothendieck ring of Chow motives. Investigating the lambda-structure of this ring, we deduce a functional equation for the zeta function of abelian varieties. Furthermore, we show that the property of having a rational zeta function satisfying a functional equation is preserved under products.Algebraic Geometry14F42text