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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.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…
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…