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arXiv · 2508.11766

Separable integer partition classes with restrictions on consecutive parts

Y. Q. Chen·Thomas Y. He·X. M. Huang·T. T. Zou
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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.

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Y. Q. Chen, Thomas Y. He, X. M. Huang, T. T. Zou. 2025-10-02. Separable integer partition classes with restrictions on consecutive parts. https://arxiv.org/abs/2508.11766

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