4 papers · 1 filter
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…
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…
A bijection related to Bressoud's conjecture
Y. H. Chen, Thomas Y. He
Bressoud introduced the partition function , which counts the number of partitions with certain difference conditions. Bressoud posed a conjecture on…