paper

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

arXiv:math/0406141 · doi:10.1007/s00220-005-1359-9

Abstract

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

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