2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71379Let P be a simple lattice polytope. We define an action of the Hecke operators on E (P), the Ehrhart polynomial of P, and describe their effect on the coefficients of E (P). We also describe how the Brion-Vergne formula transforms under the Hecke operators for nonsingular lattice polytopes P.24 ppCombinatoricsNumber TheoryLattice polytopes, Hecke operators, and the Ehrhart polynomialtext