On reducible monodromy representations of some generalized Lamé equation

Abstract

In this note, we compute the explicit formula of the monodromy data for a generalized Lamé equation when its monodromy is reducible but not completely reducible. We also solve the corresponding Riemman-Hilbert problem.

11 pages

References in corpus (2)

• Hamiltonian system for the elliptic form of Painlevé VI equation
• Simple zero property of some holomorphic functions on the moduli space of tori

Cited by in corpus (2)

• Real-root property of the spectral polynomial of the Treibich-Verdier potential and related problems
• Critical points of the classical Eisenstein series of weight two