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Article Dans Une Revue Seminaire Lotharingien de Combinatoire Année : 2002

Hooks and powers of parts in partitions

Roland Bacher
Laurent Manivel

Résumé

This 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.

Dates et versions

hal-00012431 , version 1 (23-10-2005)

Identifiants

Citer

Roland Bacher, Laurent Manivel. Hooks and powers of parts in partitions. Seminaire Lotharingien de Combinatoire, 2002, 47, pp.11. ⟨hal-00012431⟩

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