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<i>q</i>-analogues of Ehrhart polynomials

<i>q</i>-analogues of Ehrhart polynomials

Abstract We consider weighted sums over points of lattice polytopes, where the weight of a point v is the monomial q λ( v ) for some linear form λ. We propose a q -analogue of the classical theory of Ehrhart series and Ehrhart polynomials, including Ehrhart reciprocity and involving evaluation …