Hooks and powers of parts in partitions

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dc.creatorBacher, Roland
dc.creatorManivel, Laurent
dc.date2001-08-29
dc.date.accessioned2026-07-07T04:43:10Z
dc.date.available2026-07-07T04:43:10Z
dc.descriptionThis paper shows that the number of hooks of length k contained in all partitions of n equals k times the number of parts of length k in all partitions of n. It contains also formulas for the moments (under uniform distribution) of k-th parts in partitions of n.
dc.description10 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0108199
dc.identifierhttp://arxiv.org/abs/math/0108199
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62101
dc.subjectCombinatorics
dc.subjectNumber Theory
dc.subject05A17
dc.titleHooks and powers of parts in partitions
dc.typetext

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