Journal ArticleThe arithmetic of Coxeter permutahedraArdila, Federico; Beck, Matthias; McWhirter, JodinullEhrhart theory mesures a polytope P discretely by counting the lattice points inside its dilates P, 2P, 3P, ..... We compute the Ehrhart theory of four families of polytopes of great importance in several areas of mathematics: the standard Coxeter permutahedra for the classical Coxeter groups An, Bn, Cn, Dn. A central tool, of independent interest, is a description of the Ehrhart theory of a rational translate of an integer projection of a cube.2020-12-0710263946Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales441731152 to 11660370-3908https://doi.org/10.18257/raccefyn.11891855610National Science Foundation