3 papers
math.CO2026
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…
math.CO2025
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…
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…