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Universal Counting of Lattice Points in Polytopes

Bárány, I; Kantor, JM; (1999) Universal Counting of Lattice Points in Polytopes.

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Abstract

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 $\uu_P=\uu_Q$.

Type:Article
Title:Universal Counting of Lattice Points in Polytopes
UCL classification:UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics

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