Hooks and powers of parts in partitions
Abstract
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 kth parts in partitions of n.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 August 2001
 arXiv:
 arXiv:math/0108199
 Bibcode:
 2001math......8199B
 Keywords:

 Combinatorics;
 Number Theory;
 05A17
 EPrint:
 10 pages, 1 figure