The maximum hook length of $d$-distinct simultaneous core partitions
Combinatorics
2022-09-22 v1 Number Theory
Abstract
We exactly determine the maximum possible hook length of -core partitions with -distinct parts when there are finitely many such partitions. Moreover, we provide an algorithm to construct a -distinct -core partition with this maximum possible hook length.
Cite
@article{arxiv.2209.09973,
title = {The maximum hook length of $d$-distinct simultaneous core partitions},
author = {Ethan Pesikoff and Benjamin Przybocki and Janabel Xia},
journal= {arXiv preprint arXiv:2209.09973},
year = {2022}
}