On the spectral curve of the difference Lamé operator

Abstract

We give two ”complementary” descriptions of the curve Γ parametrizing doubleBloch solutions to the difference analogue of the Lamé equation. The curve depends on a positive integer number l and two continuous parameters: the ”lattice spacing” η and the modular parameter τ . Apart from being a covering of the elliptic curve with the modular parameter… (More)

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