Some Separable integer partition classes
Combinatorics
2023-10-30 v3
Abstract
Recently, Andrews introduced separable integer partition classes and analyzed some well-known theorems. In this paper, we investigate partitions with parts separated by parity introduced by Andrews with the aid of separable integer partition classes with modulus . We also extend separable integer partition classes with modulus to overpartitions, called separable overpartition classes. We study overpartitions and the overpartition analogue of Rogers-Ramanujan identities, which are separable overpartition classes.
Keywords
Cite
@article{arxiv.2305.13151,
title = {Some Separable integer partition classes},
author = {Y. H. Chen and Thomas Y. He and F. Tang and J. J. Wei},
journal= {arXiv preprint arXiv:2305.13151},
year = {2023}
}