Separable integer partition classes with restrictions on consecutive parts

Fuente: arXiv
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Main Authors: Chen, Y. Q., He, Thomas Y., Huang, X. M., Zou, T. T.
Format: Preprint
Published: 2025
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author Chen, Y. Q.
He, Thomas Y.
Huang, X. M.
Zou, T. T.
author_facet Chen, Y. Q.
He, Thomas Y.
Huang, X. M.
Zou, T. T.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2508_11766
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Separable integer partition classes with restrictions on consecutive parts
Chen, Y. Q.
He, Thomas Y.
Huang, X. M.
Zou, T. T.
Combinatorics
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.
title Separable integer partition classes with restrictions on consecutive parts
topic Combinatorics
url https://arxiv.org/abs/2508.11766