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Garsia--Remmel $q$-rook numbers are not always unimodal

Published 25 Oct 2024 in math.CO | (2410.19714v2)

Abstract: We show by an explicit example that the Garsia--Remmel $q$-rook numbers of Ferrers boards do not all have unimodal sequences of coefficients. This resolves in the negative a question from 1986 by the aforementioned authors.

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