Some Combinatorial Properties of Hook Lengths, Contents, and Parts of Partitions

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dc.creatorStanley, Richard P.
dc.date2008-07-02
dc.date2009-04-10
dc.date.accessioned2026-07-07T13:01:50Z
dc.date.available2026-07-07T13:01:50Z
dc.descriptionThis paper proves a generalization of a conjecture of Guoniu Han, inspired originally by an identity of Nekrasov and Okounkov. The main result states that certain sums over partitions p of n, involving symmetric functions of the squares of the hook lengths of p, are polynomial functions of n. A similar result is obtained for symmetric functions of the contents and shifted parts of n.
dc.description20 pages. Correction of some inaccuracies, and a new Theorem 4.4
dc.identifierhttps://arxiv.org/abs/0807.0383
dc.identifierhttp://arxiv.org/abs/0807.0383
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226279
dc.subjectCombinatorics
dc.subject05E05
dc.titleSome Combinatorial Properties of Hook Lengths, Contents, and Parts of Partitions
dc.typetext

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