2 problems

Let $n\in\mathbb{N}$ and $N\in\mathbb{N}_{\geq 3}$. An integral Lamé equation is a Lamé equation of index $n$ whose parameter is integral, and let $L_n(N)$ denote the number of suc…

Consider Lamé equations with parameter $n=-\frac{1}{2}$ defined over $\overline{\mathbb{Q}}$, and the four classes numbered $1,2,3,4$ above. Chudnovsky and Chudnovsky's conjecture.…