Hooks and powers of parts in partitions

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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.
10 pages, 1 figure

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Combinatorics, Number Theory, 05A17

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http://salesiana.dossiersoluciones.com/handle/123456789/62101

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0108199
 http://arxiv.org/abs/math/0108199

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arXiv