Hooks and powers of parts in partitions

Details Hooks and powers of parts in partitions Hooks and powers of parts in partitions

2001-08-29

arxiv.org/abs/math/0108199v1

Mathematics

Combinatorics

10 pages, 1 figure

Scientific paper

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.

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