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Bijective proof for a partition identity
I came across the following cute fact about partitions:
\begin{align}
& |\{\lambda \vdash n \text{ with an even number of even parts}\}| \\[8pt]
& {} - |\{ \lambda \vdash n \text{ with an odd ...
- 2,242
5
votes
1
answer
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Bijection from "black-white balanced" partitions to pairs of partitions
Definition
Call a partition $\lambda$ of an even integer $2n$ "black-white balanced" if the following equivalent conditions are satisfied:
In the usual (Ferrers-)Young diagram of $\lambda$, ...
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