Congruences of Multipartition Functions Modulo Powers of Primes

William Y. C. Chen, Daniel K. Du, Qing-Hu Hou +1

Let $p_r(n)$ denote the number of $r$-component multipartitions of $n$, and let $S_{\gamma ,\lambda }$ be the space spanned by $\eta (24z{)}^{\gamma }\varphi (24z)$, where $\eta (z)$ is the Dedekind's eta function and…