Geodesic
Universal Counting of Lattice Points in Polytopes
Publications de l'Institut Mathématique, _N_S_66 (1999) no. 80, p. 16

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Given 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 $\uu_P=\uu_Q$.
Classification : 52B20 52A27 
@article{PIM_1999_N_S_66_80_a2,
     author = {Imre B\'ar\'any and Jean-Michel Kantor},
     title = {Universal {Counting} of {Lattice} {Points} in {Polytopes}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {16 },
     publisher = {mathdoc},
     volume = {_N_S_66},
     number = {80},
     year = {1999},
     zbl = {0954.52014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1999_N_S_66_80_a2/}
}
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Imre Bárány; Jean-Michel Kantor. Universal Counting of Lattice Points in Polytopes. Publications de l'Institut Mathématique, _N_S_66 (1999) no. 80, p. 16 . http://geodesic.mathdoc.fr/item/PIM_1999_N_S_66_80_a2/