Lattice polytopes, Hecke operators, and the Ehrhart polynomial

Mathematics – Combinatorics

Scientific paper

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24 pp

Scientific paper

Let 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.

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