Proofs of some conjectures of Chan-Mao-Osburn on Beck's partition statistics

Liuxin Jin, Eric H. Liu, Ernest X. W. Xia

Recently, George Beck introduced two partition statistics $NT(m,j,n)$ and $M_{\omega }(m,j,n)$, which denote the total number of parts in the partition of $n$ with rank congruent to $m$ mo…