Separable overpartition classes and excludant sizes of an overpartition
Combinatorics
2026-01-29 v3
Abstract
An overpartition is a partition such that the first occurrence (equivalently, the last occurrence) of a number may be overlined. In this article, we investigate three contents of overpartitions. We first consider the -chain minimal and maximal excludant sizes of an overpartition. Then, we study the second minimal excludant and mex sequence of an overpartition. Finally, we introduce -overpartitions and -overpartitions, which are separable overpartition classes.
Cite
@article{arxiv.2501.12864,
title = {Separable overpartition classes and excludant sizes of an overpartition},
author = {Y. H. Chen and Y. Q. Chen and Thomas Y. He and H. X. Huang and X. Zhang},
journal= {arXiv preprint arXiv:2501.12864},
year = {2026}
}