论文信息 - An involution for symmetry of hook length and part length of pointed partitions

An involution for symmetry of hook length and part length of pointed partitions

A pointed partition of n is a pair (@l,v), where @l is a partition of n and v is a cell in its Ferrers diagram. In this paper, an involution on pointed partitions of n exchanging hook length and part length is constructed. This gives a bijective proof of a recent result of Bessenrodt and Han (2009) [4].

Jiang Zeng | Heesung Shin

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[3] Roland Bacher,et al. Hooks and powers of parts in partitions , 2001 .

[4] G. Andrews. The Theory of Partitions: Frontmatter , 1976 .