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- W2078133265 abstract "It is well-known that the coordinator polynomials of the classical root lattice of type An and those of type Cn are real-rooted. They can be obtained, either by the Aissen–Schoenberg–Whitney theorem, or from their recurrence relations. In this paper, we develop a trigonometric substitution approach which can be used to establish the real-rootedness of coordinator polynomials of type Dn. We also find the coordinator polynomials of type Bn are not real-rooted in general. As a conclusion, we obtain that all coordinator polynomials of Weyl group lattices are log-concave." @default.
- W2078133265 created "2016-06-24" @default.
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- W2078133265 date "2013-02-01" @default.
- W2078133265 modified "2023-10-18" @default.
- W2078133265 title "The real-rootedness and log-concavities of coordinator polynomials of Weyl group lattices" @default.
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- W2078133265 doi "https://doi.org/10.1016/j.ejc.2012.10.001" @default.
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