2 problems

Let $\beta\in\mathbb C$ and $n\in\mathbb N$. Let $d_n^{(\beta)}$ denote the dimension or counting quantity defined in the source for the degree-$n$ states at momentum $\beta$, and…

Let $\lambda$ be a partition, let $\beta$ be a parameter, and let $z_i^{(\beta)}(\lambda)$, for $1\leq i\leq |\lambda|$, denote the roots associated with the corresponding Laguerre…