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arXiv · 2206.03696

Divisibility and distribution of 5-regular partitions

Qi-Yang Zheng
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Abstract

In this paper we study $b_5(n)$, the $5$-regular partitions of $n$. Using the theory of modular forms, we prove several theorems on the divisibility and distribution properties of $b_5(n)$ modulo prime $m\geq5$. In particular, we prove that there are infinitely many Ramanujan-type congruences modulo prime $m\geq5$.

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Qi-Yang Zheng. 2022-06-08. Divisibility and distribution of 5-regular partitions. https://arxiv.org/abs/2206.03696

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