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arXiv · 1408.1329

q-Ehrhart polynomials of Gorenstein polytopes, Bernoulli umbra and related Dirichlet series

Frédéric Chapoton·Driss Essouabri
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Abstract

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

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BibTeXRIS

Frédéric Chapoton, Driss Essouabri. 2014-08-06. q-Ehrhart polynomials of Gorenstein polytopes, Bernoulli umbra and related Dirichlet series. https://arxiv.org/abs/1408.1329

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