2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78518Given a lattice polytope $P$ (with underlying lattice $\lo$), the universal counting function $\uu_P(\lo')=|P\cap \lo'|$ is defined on all lattices $\lo'$ containing $\lo$. Motivated by questions concerning lattice polytopes and the Ehrhart polynomial, we study the equation $\uu_P=\uu_Q$.CombinatoricsAlgebraic Geometrytext