3 problems

Let $\mathfrak d(z)$ be a degenerate Lamé operator, meaning that its leading coefficient satisfies $\deg Q_k<k+r$, and let $N_0$ be any positive integer. Unbounded-root conjecture.…

The non-stationary Lamé equation is a special-function model arising in integrable systems and mathematical physics, and the non-stationary Heun equation is its broader elliptic co…

Let $n\in\mathbb N$ and $m\ge3$, and consider the algebraic Lamé equation … where $f(z)=4z^3-g_2z-g_3$. For prescribed $n$ and $m$, consider the conditions on $B$, $g_2$, and $g_3$…