3 papers
math.CO2026
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…
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
Overpartitions with separated overlined parts and non-overlined parts
Y. H. Chen, Thomas Y. He, Y. Hu +1
Recently, Andrews considered the partitions with parts separated by parity, in which parts of a given parity are all smaller than those of the other parity. Inspired from the parti…