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math.CO2025
Separable overpartition classes and excludant sizes of an overpartition
Y. H. Chen, Y. Q. Chen, Thomas Y. He +2
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 o…
math.CO2024
Three types of the minimal excludant size of an overpartition
Thomas Y. He, C. S. Huang, H. X. Li +1
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…
math.CO2024
Separable integer partition classes and partitions with congruence conditions
Thomas Y. He, C. S. Huang, H. X. Li +1
In this article, we first investigate the partitions whose parts are congruent to or modulo with the aid of separable integer partition classes with modulus introdu…