3 problems

Let $\lambda$ range over partitions, let $h^{\lambda}(u)$ denote the hook length of a cell $u\in\lambda$, and let $c_{sp}^{\lambda}(u)$ and $c_{O}^{\lambda}(u)$ denote its symplect…

Let $\lambda$ range over partitions, let $h^{\lambda}(u)$ denote the hook length of a cell $u\in\lambda$, and let $c_{sp}^{\lambda}(u)$ be its symplectic content. For an indetermin…

Let $\overline{H}_{\lambda/\mu}(n)$ be the normalized hook-content quantity associated with partitions $\mu\subseteq\lambda$, and let $\ell$ denote the length of $\lambda$. For an…