Separable overpartition classes and the r-chain excludant sizes of an overpartition

2025/01/22 by Chen, Y. H., He, Thomas Y., Huang, H. X. +1 · 1 citation
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2501.12864

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 will investigate two contents of overpartitions. We first consider the r-chain minimal and maximal excludant sizes of an overpartition. Then, we introduce L_k-overpartitions and F_k-overpartitions, which are two types of separable overpartition classes.

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• Separable integer partition classes with restrictions on consecutive parts

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