Searcharxiv⌕ Search

arXiv subjects

T. T. Zou

Publications and source records attributed to T. T. Zou.

2 recordsLinked to original sources
arXiv2026

Parity considerations in the number of parts

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 (resp. non-overlined) part in an overpartition. In this article, we investigate the parity of the number of non-overlined (resp. overlined) parts of size less than or equal to the size of the largest overlined (resp. non-overlined) part in an overpartition. We also study the parity of the number of even parts greater than the smallest odd part in a partition.

math.CO↗
arXiv2025

Separable integer partition classes with restrictions on consecutive parts

Recently, Andrews introduced separable integer partition classes and studied some well-known theorems. In this article, we will consider the types of partitions with restrictions on consecutive parts. We will show that such partitions are separable integer partition classes and then give the generating functions for such partitions.

math.CO↗