Proof of a conjecture of Dahmen and Beukers on counting integral Lamé equations with finite monodromy

Zhijie Chen, Ting-Jung Kuo, Chang-Shou Lin

In this paper, we prove Dahmen and Beukers' conjecture that the number of integral Lamé equations with index $n$ modulo scalar equivalence with the monodromy group dihedral $D_N$…