The real-rootedness and log-concavities of coordinator polynomials of Weyl group lattices

DOI10.1016/j.ejc.2012.10.001zbMath1288.11068arXiv1106.3765OpenAlexW2078133265MaRDI QIDQ691600

David G. L. Wang, Tongyuan Zhao

Publication date: 3 December 2012

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.3765

zbMATH Keywords

growth serieslog-concavityreal-rooted polynomialcoordinator polynomialWeyl group lattice

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Real polynomials: location of zeros (26C10)

Related Items (5)

Derivation of the real-rootedness of coordinator polynomials from the Hermite-Biehler theorem ⋮ Refined ratio monotonicity of the coordinator polynomials of the root lattice of type \(B_n\) ⋮ Analytic combinatorics of coordination numbers of cubic lattices ⋮ Root polytope and partitions ⋮ Log-Concavity of Combinations of Sequences and Applications to Genus Distributions

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