论文标题
5个规范分区的分配和分布
Divisibility and distribution of 5-regular partitions
论文作者
论文摘要
在本文中，我们研究$ b_5（n）$，$ 5 $的$ n $分区。使用模块化表单理论，我们证明了$ b_5（n）$ modulo prime $ m \ geq5 $的分配和分布属性的几个定理。特别是，我们证明有许多无限的Ramanujan型一致性Modulo Prime $ M \ GEQ5 $。
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 $m\geq5$.
