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The Heun Equation and the Calogero-Moser-Sutherland System I: The Bethe Ansatz Method

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Abstract:

 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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Authors and Affiliations

  1. Department of Mathematical Sciences, Yokohama City University, 22-2 Seto, Kanazawa-ku, Yokohama 236-0027, Japan. E-mail: takemura@yokohama-cu.ac.jp, , , , , , JP

    Kouichi Takemura

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  1. Kouichi Takemura
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Received: 28 September 2001 / Accepted: 31 October 2002 Published online: 31 January 2003

Communicated by L. Takhtajan

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Takemura, K. The Heun Equation and the Calogero-Moser-Sutherland System I: The Bethe Ansatz Method. Commun. Math. Phys. 235, 467–494 (2003). https://doi.org/10.1007/s00220-002-0784-2

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  • DOI: https://doi.org/10.1007/s00220-002-0784-2

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