q-Ehrhart polynomials of Gorenstein polytopes, Bernoulli umbra and   related Dirichlet series
  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 {\Psi} (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 
Fr\'ed\'eric Chapoton (ICJ), Driss Essouabri (ICJ)
math.QA math.NT