The Maximum Hook Length of $d$-Distinct Simultaneous Core Partitions

  • Ethan Pesikoff
  • Benjamin Przybocki
  • Janabel Xia
DOI: https://doi.org/10.37236/11553

Abstract

We exactly determine the maximum possible hook length of $(s,t)$-core partitions with $d$-distinct parts when there are finitely many such partitions. Moreover, we provide an algorithm to construct a $d$-distinct $(s,t)$-core partition with this maximum possible hook length.

Published
2023-09-08
Issue
Volume 30, Issue 3 (2023)
Article Number
P3.30