Divisibility and distribution of 5-regular partitions
Zheng, Qi-Yang;
Divisibility and distribution of 5-regular partitions
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 $m\geq5$.
7 pages. arXiv admin note: text overlap with arXiv:2205.03191
Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT)
Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT)
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