Unimodality of partitions with distinct parts inside Ferrers shapes
We investigate the rank-generating function F[subscript λ] of the poset of partitions contained inside a given shifted Ferrers shape λ. When λ has four parts, we show that F [subscript λ] is unimodal when λ=〈n, n-1, n-2, n-3〉, for any n≥4, and that unimodality fails for the doubly-indexed, infinite...
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| Format: | Article |
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Elsevier
2017
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| Online Access: | http://hdl.handle.net/1721.1/112204 https://orcid.org/0000-0003-3123-8241 |