• Corpus ID: 14792596

# Partition Statistics Equidistributed with the Number of Hook Difference One Cells

@article{Huang2014PartitionSE,
title={Partition Statistics Equidistributed with the Number of Hook Difference One Cells},
author={Jiaoyang Huang and Andrew Senger and Peter Wear and Tianqi Wu},
journal={arXiv: Combinatorics},
year={2014}
}
• Published 1 May 2014
• Mathematics
• arXiv: Combinatorics
Let $\lambda$ be a partition, viewed as a Young diagram. We define the hook difference of a cell of $\lambda$ to be the difference of its leg and arm lengths. Define $h_{1,1}(\lambda)$ to be the number of cells of $\lambda$ with hook difference one. In the paper of Buryak and Feigin (arXiv:1206.5640), algebraic geometry is used to prove a generating function identity which implies that $h_{1,1}$ is equidistributed with $a_2$, the largest part of a partition that appears at least twice, over the…
1 Citations

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### Massachusetts Institute of Technology E-mail address: jiaoyang@mit

• Jiaoyang Huang, Department of Mathematics