2014/08/06 by Frédéric Chapoton, Chapoton, Frédéric, Driss Essouabri +1
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #Quantum Algebra (math.QA) #math.NT #math.QA
paper · pdf · doi:10.48550/arxiv.1408.1329
16 pages
arxiv created 2014/08/06 · arxiv updated 2014/08/07
This article considers some q-analogues of classical results concerning the Ehrhart polynomials of Gorenstein polytopes, namely properties of their q-Ehrhart polynomial with respect to a good linear form. Another theme is a specific linear form Ψ (involving Carlitz' q-analogues of Bernoulli numbers) on the space of polynomials, for which one shows interesting behaviour on these q-Ehrhart polynomials. A third point is devoted to some related zeta-like functions associated with polynomials