Séries de croissance et séries d'Ehrhart associées aux réseaux de racines

DOI10.1016/S0764-4442(97)83542-2zbMath0917.52006OpenAlexW2039565850MaRDI QIDQ4385787

Roland Bacher, Boris B. Venkov, Pierre De la Harpe

Publication date: 7 April 1999

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(97)83542-2

zbMATH Keywords

growth seriesroot systemEhrhart seriesintegral convex polytope in \(\mathbb{R}^n\)

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Factorials, binomial coefficients, combinatorial functions (05A10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (4)

Derivation of the real-rootedness of coordinator polynomials from the Hermite-Biehler theorem ⋮ The distribution of roots of Ehrhart polynomials for the dual of root polytopes of type \(C\) ⋮ Excedances of affine permutations ⋮ Séries de croissance et polynômes d'Ehrhart associés aux réseaux de racines. (Growth series and Ehrhart polynomials associated to root lattices)

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