Enumeration of concave integer partitions

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dc.creatorSnellman, Jan
dc.creatorPaulsen, Michael
dc.date2003-09-04
dc.date2004-01-19
dc.date.accessioned2026-07-07T05:00:50Z
dc.date.available2026-07-07T05:00:50Z
dc.descriptionAn integer partition λof n corresponds, via its Ferrers diagram, to an artinian monomial ideal I of colength n in the polynomial ring on two variables. If the partition λcorresponds to an integrally closed ideal we call λconcave. We study generating functions for the number of concave partitions, unrestricted or with at most r parts.
dc.description8 pages. ver 2: Added reference to asymptotic estimate by Gert Almkvist. ver 3: Minor editing. ver 4: Added reference to Canfield et al, rewrote section 3 ver 5: Added reference to Andrews
dc.identifierhttps://arxiv.org/abs/math/0309065
dc.identifierhttp://arxiv.org/abs/math/0309065
dc.identifierJournal of Integer Sequences, Vol. 7 (2004), Article 04.1.3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68463
dc.subjectCombinatorics
dc.subjectCommutative Algebra
dc.subject05A17; 13B22
dc.titleEnumeration of concave integer partitions
dc.typetext

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