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arXiv · 2308.04752

New congruences for 4,6-regular partitions modulo primes

Qi-Yang Zheng
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Abstract

The main result of the paper is the existence of an infinitely many families of Ramanujan-type congruences for $b_4(n)$ and $b_6(n)$ modulo primes $m \geq 2$ and $m \geq 5$, respectively. We provide new examples of congruences for $b_4(n)$ and $b_6(n)$. Moreover, we find two infinite explicit infinite families of congruences for $b_4(n)$ modulo $3$.

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Qi-Yang Zheng. 2023-08-09. New congruences for 4,6-regular partitions modulo primes. https://arxiv.org/abs/2308.04752

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