3 papers
math.CO2025
Six types of separable integer partitions
Thomas Y. He, Y. Hu, H. X. Huang +1
Recently, Andrews introduced separable integer partition classes and studied some well-known theorems. In this atricle, we will investigate six types of partitions from the view of…
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
Parity considerations in the number of parts
Thomas Y. He, H. X. Huang, Y. X. Xie +1
Recently, Chen, He, Hu and Xie considered the parity of the number of non-overlined (resp. overlined) parts of size greater than or equal to the size of the smallest overlined (res…