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Zbl 0918.05003
Benoumhani, Moussa
Log-concavity of Whitney numbers of Dowling lattices.
(English)
[J] Adv. Appl. Math. 22, No.2, 186-189 (1999). ISSN 0196-8858

This paper shows that the generating polynomial of Whitney numbers of the Dowling lattices has only real roots. This gives a new proof (through a result of Newton) that these Whitney numbers form strictly log-concave sequences.
[P.L.Erd\H{o}s (Budapest)]
MSC 2000:
*05A15 Combinatorial enumeration problems
06C10 Geometric lattices

Keywords: Dowling lattice; geometric lattice; log-concave; generating function; Stirling numbers of the second kind; Whitney numbers

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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