2 problems

Let $m$ be the complex dimension, let $m\leq q\leq 2m$, and let $Y_{2m-q}$, $\Delta(\lambda)$, $\Delta(\xi)$ and the integration variables be as in the source's preceding definitio…

Vanishing integral conjecture. The integral $I_{\lambda}(a,b;q,t,t^n)$ vanishes unless $\operatorname{2\text{-}core}(\lambda)=0$. Moreover, the two specializations satisfy