Hooks and powers of parts in partitions
classification
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math.NT
keywords
partitionspartshookslengthnumbercontainedcontainsdistribution
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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.
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