Three types of the minimal excludant size of an overpartition
Combinatorics
2024-11-07 v2
Abstract
Recently, Andrews and Newman studied the minimal excludant of a partition, which is defined as the smallest positive integer that is not a part of a partition. In this article, we consider the minimal excludant size of an overpartition, which is an overpartition analogue of the minimal excludant of a partition. We define three types of overpartition related to the minimal excludant size.
Cite
@article{arxiv.2410.19669,
title = {Three types of the minimal excludant size of an overpartition},
author = {Thomas Y. He and C. S. Huang and H. X. Li and X. Zhang},
journal= {arXiv preprint arXiv:2410.19669},
year = {2024}
}