Overpartitions with separated overlined parts and non-overlined parts
Combinatorics
2025-06-03 v2
Abstract
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 partitions with parts separated by parity, we investigate the overpartitions with separated overlined parts and non-overlined parts, in which the sizes of overlined parts (resp. non-overlined parts) are greater than or equal to those of non-overlined parts (resp. overlined parts).
Cite
@article{arxiv.2412.16941,
title = {Overpartitions with separated overlined parts and non-overlined parts},
author = {Y. H. Chen and Thomas Y. He and Y. Hu and Y. X. Xie},
journal= {arXiv preprint arXiv:2412.16941},
year = {2025}
}