On eigenvalues of Lamé operator

Abstract

We introduce two integral representations of monodromy on Lamé equation. By applying them, we obtain results on hyperelliptic-to-elliptic reduction integral formulae, finite-gap potential and eigenvalues of Lamé operator.

13 pages, based on the talk given at the Workshop "Recent Progress in Solvable lattice Models" (Kyoto, July 2004)

Cited by in corpus (2)

• Elliptic Faulhaber polynomials and Lamé densities of states
• Lamé equation, quantum top and elliptic Bernoulli polynomials