The Heun equation and the Calogero-Moser-Sutherland system I: the Bethe Ansatz method

Mathematics – Classical Analysis and ODEs

Scientific paper

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31 pages, revised

Scientific paper

10.1007/s00220-002-0784-2

We propose and develop the Bethe Ansatz method for the Heun equation. As an
application, holomorphy of the perturbation for the BC_1 Inozemtsev model from
the trigonometric model is proved.

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