Separable integer partition classes with restrictions on consecutive parts
Combinatorics
2025-10-03 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2508.11766,
title = {Separable integer partition classes with restrictions on consecutive parts},
author = {Y. Q. Chen and Thomas Y. He and X. M. Huang and T. T. Zou},
journal= {arXiv preprint arXiv:2508.11766},
year = {2025}
}