5 problems

Let $l\in\mathbb N$, and let the parameter $\mu$ satisfy one of the equations governing the relevant monodromy cases according as $l$ is odd or even. Consider the corresponding mon…

For $l\in\mathbb N$, let $\mathcal P_l\in\{B=l\omega\}$ be the point with maximal $A$-coordinate for which the corresponding Heun equation has a polynomial solution. Collinearity c…

Let $d_2(B)$ be the function associated with the Heun equation, the confluent Heun equation, and the reduced confluent Heun equation, and let $D_k$ and $D_k^{[j],(k+j+1)}$ denote t…

The triangular-term sign conjecture. The ratio of these triangular terms is negative, in the source's notation meaning

For every $\omega>0$ and every integer $l\geq0$, let … where $\xi_l$ is the functional equation associated with entire Heun solutions and adjacencies. Simplicity conjecture. The ze…