2 problems

Let $k,n$ be integers with $k>1$ and $n>1$, and use the semicolon to separate the fermionic and bosonic parts of a superpartition. Almost rectangular bilinear identities conjecture…

Let $k,n$ be integers with $k>1$ and $n>1$. Let $r',r\in\{k,k-1,0\}$ satisfy $r'>r$, and set $\epsilon=\delta_{r,0}$. Here $k^n$ denotes the ordinary partition with $n$ parts equal…