3 problems

Dunkl–Jing–Oh conjecture. The two-part representations $(n-1,N-n+1)$, with $2(n-1)\geq N$, should give rise to singular polynomials for the singular values $-\frac{m}{n}$ satisfyin…

Dunkl–de Jeu–Opdam conjecture. The two-part representations $(\mu,N-\mu)$ with $2\mu\geq N$ give rise to singular polynomials for the singular values

Recursive-extension conjecture. One can choose $F_2$ without adding $p$-th powers and continue the recursion to construct $F_3,F_4,\ldots$ indefinitely.