论文标题
4型和8型分区函数的均等
Parity of 4-regular and 8-regular partition functions
论文作者
论文摘要
我们给出了$ b_8（n）$的奇偶校验的完整表征，$ 8 $的分区的$ n $。也就是说，我们证明$ b_8（n）$是奇怪的，甚至取决于我们是否具有分解$ 24N+7 = p^{4a+1} m^2 $，对于某些prime $ p \ nmid m $和$ a \ ge 0 $。
We give a complete characterization of the parity of $b_8(n)$, the number of $8$-regular partitions of $n$. Namely, we prove that $b_8(n)$ is odd or even depending on whether or not we have the factorisation $24n+7=p^{4a+1}m^2$, for some prime $p\nmid m$ and $a\ge 0$.
