Lattice polytopes, Hecke operators, and the Ehrhart polynomial
Combinatorics
2007-05-23 v1 Number Theory
Abstract
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.
Keywords
Cite
@article{arxiv.math/0405573,
title = {Lattice polytopes, Hecke operators, and the Ehrhart polynomial},
author = {Paul E. Gunnells and Fernando Rodriguez Villegas},
journal= {arXiv preprint arXiv:math/0405573},
year = {2007}
}
Comments
24 pp