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arXiv · 2410.19669

Three types of the minimal excludant size of an overpartition

Thomas Y. He·C. S. Huang·H. X. Li·X. Zhang
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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.

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Thomas Y. He, C. S. Huang, H. X. Li, X. Zhang. 2024-11-06. Three types of the minimal excludant size of an overpartition. https://arxiv.org/abs/2410.19669

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