Characterization and enumeration on Lamé equations with finite monodromy

You-Cheng Chou, Chin-Lung Wang, Po-Sheng Wu

We give a complete characterization of the classical Lamé equations $y^{\prime \prime }=(n(n+1)\wp (z)+B)y$, $n\in \mathbb{R}$, $B\in \mathbb{C}$ on flat tori $E_{\tau }=\mathbb{C}/(\mathbb{Z}+\mathbb{Z}\tau )$ wi…