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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.07957 |
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Table of Contents:
- In this paper, we consider plane partitions $\text{PP}(λ; m)$ of a given shape $λ$, with entries at most $m$. We prove that the distributions of two statistics on $\text{PP}(λ; m)$ coincide: one is the number of rows containing $0$ and the other is the number of rows containing $m$. We also provide a bijective proof.