2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/95818We 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 pagesClassical Analysis and ODEsMathematical PhysicsQuantum AlgebraExactly Solvable and Integrable Systems34M35,34B30,81R12The Heun equation and the Calogero-Moser-Sutherland system IV: the Hermite-Krichever Ansatztext