2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155522We present lower bounds for the coefficients of Ehrhart polynomials of convex lattice polytopes in terms of their volume. Concerning the coefficients of the Ehrhart series of a lattice polytope we show that Hibi's lower bound is not true for lattice polytopes without interior lattice points. The counterexample is based on a formula of the Ehrhart series of the join of two lattice polytope. We also present a formula for calculating the Ehrhart series of integral dilates of a polytope.v2: minor corrections; referees comments and suggestions incorporated. To appear in European J. CombinatMetric GeometryCombinatorics52C07; 11H06; 52B20text