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q-Analogues of Ehrhart polynomials

by: Frédéric Chapoton
(9 Jan 2013)  Key: citeulike:11889000

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Abstract

One considers weighted sums over points of lattice polytopes, where the weight of a point v is the monomial q^f(v) for some linear form f. One proposes a q-analogue of the classical theory of Ehrhart series and Ehrhart polynomials, including Ehrhart reciprocity and involving evaluation at the q-integers.


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