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

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

2004-06-08

arxiv.org/abs/math/0406141v1

Commun. Math. Phys. 258 (2005) 367-403

Mathematics

Classical Analysis and ODEs

34 pages

Scientific paper

10.1007/s00220-005-1359-9

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.

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