On self-conjugate $(s, s+1,\ldots, s+k)$-core partitions
Combinatorics
2019-05-03 v1
Abstract
Simultaneous core partitions have been widely studied since Anderson's work on the enumeration of -core partitions. Amdeberhan and Leven showed that the number of -core partitions is equal to the number of -Dyck paths. In this paper, we prove that self-conjugate -core partitions are equinumerous with symmetric -Dyck paths, confirming a conjecture posed by Cho, Huh and Sohn.
Keywords
Cite
@article{arxiv.1905.00570,
title = {On self-conjugate $(s, s+1,\ldots, s+k)$-core partitions},
author = {Sherry H. F. Yan and Yao Yu and Hao Zhou},
journal= {arXiv preprint arXiv:1905.00570},
year = {2019}
}