On the spiral property of the q-derangem
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Xiang-De Zhang
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Article
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1996
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Elsevier Science
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English
β 136 KB
We discover the spiral property of the q-derangement numbers arising from q-counting of derangements by the major index. The spiral property implies that the polynomial is unimodal and the maximum coefficient appears exactly in the middle, which confirms a conjecture of Chen and Rota. Let Dn(q) den