• Corpus ID: 15137279

Hooks and powers of parts in partitions

@article{Bacher2001HooksAP,
  title={Hooks and powers of parts in partitions},
  author={Roland Bacher and Laurent Manivel},
  journal={S{\'e}minaire Lotharingien de Combinatoire},
  year={2001},
  volume={47},
  pages={11}
}
  • R. Bacher, L. Manivel
  • Published 29 August 2001
  • Mathematics
  • Séminaire Lotharingien de Combinatoire
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 partitions of n. It contains also formulas for the moments (under uniform distribution) of k-th parts in partitions of n. 
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