On eigenvalues of Lamé operator

Details On eigenvalues of Lamé operator On eigenvalues of Lamé operator

2004-09-15

arxiv.org/abs/math/0409247v1

Mathematics

Classical Analysis and ODEs

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

Scientific paper

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

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