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arXiv · 2412.18938

Some Properties of Overpartitions into Nonmultiples of Two Integers

Abdulaziz M. Alanazi·Augustine O. Munagi·Manjil P. Saikia
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Abstract

We consider properties of overpartitions that are simultaneously {\ell}-regular and {\mu}-regular, where {\ell} and {\mu} are positive relatively prime integers. We prove a seven-way combinatorial identity related to these overpartitions. We also prove several congruence properties satisfied by this class of partitions (and a further related class) using both generating functions and modular forms with Radu's Algorithm.

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Abdulaziz M. Alanazi, Augustine O. Munagi, Manjil P. Saikia. 2024-12-25. Some Properties of Overpartitions into Nonmultiples of Two Integers. https://arxiv.org/abs/2412.18938

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