Séminaire Lotharingien de Combinatoire, B47d (2002), 11 pp.
Roland Bacher and Laurent Manivel
Hooks and Powers of Parts in Partitions
This paper shows that the number of hooks
of length k contained in all partitions of n equals k
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.
Received: September 27, 2001; Accepted: December 28, 2001; Final Version:
January 16, 2002.
The following versions are available: