The Heun equation and the Calogero-Moser-Sutherland system IV: the Hermite-Krichever Ansatz

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We develop a theory for the Hermite-Krichever Ansatz on the Heun equation. As a byproduct, we find formulae which reduce hyperelliptic integrals to elliptic ones.
34 pages

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Classical Analysis and ODEs, Mathematical Physics, Quantum Algebra, Exactly Solvable and Integrable Systems, 34M35,34B30,81R12

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http://salesiana.dossiersoluciones.com/handle/123456789/95818

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406141
 http://arxiv.org/abs/math/0406141
 Commun. Math. Phys. 258 (2005) 367-403
 doi:10.1007/s00220-005-1359-9

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arXiv