2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149194We give an integral representation of solutions of the elliptic Knizhnik-Zamolodchikov-Bernard equations for arbitrary simple Lie algebras. If the level is a positive integer, we obtain formulas for conformal blocks of the WZW model on a torus. The asymptotics of our solutions at critical level gives eigenfunctions of Euler-Calogero-Moser integrable $N$-body systems. As a by-product, we obtain some remarkable integral identities involving classical theta functions.12 pages, AmsLaTex; some misprints were correctedHigh Energy Physics - Theorytext