4 papers
Minimal excludant integer and bilateral truncated Jacobi triple product identity
Y. H. Chen, W. D. Deng, Thomas Y. He +1
In 2012, Andrews and Merca proved a truncated theorem on Euler's pentagonal number theorem. Since then, a number of results on truncated theta series have been proved, including tr…
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…
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…
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…