2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59051We consider ramified coverings of P^1 with arbitrary ramification type over 0 and infinity and simple ramifications elsewhere and prove that the generating function for the numbers of such coverings is a tau-function for the Toda lattice hierarchy of Ueno and Takasaki.10 pagesAlgebraic GeometryMathematical PhysicsCombinatoricsRepresentation Theorytext