2 problems

For each integer $d\geq 3$, let $\mathfrak P_d\subseteq\mathbb R^{2d-3}$ be the integral polytope whose integer points correspond to irreducible Ferrers-diagram pairs…

Let ${\cal F}$ be a Ferrers diagram and let $\delta$ be a positive integer. For each $i$ with $0\leq i\leq\delta-1$, let $\nu_i$ be the number of dots in ${\cal F}$ outside the fir…