Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4647978 | Discrete Mathematics | 2013 | 4 Pages |
Abstract
We provide a bijective proof of the identity ∑x∈λ(h(x)2−c(x)2)=|λ|2 where λλ is an integer partition, h(x)h(x) is the hook number of the cell x∈λx∈λ, and c(x)c(x) is the content of xx. A closely related identity is also proved bijectively.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Anthony Mendes,