Multivariable Lamé functions

Multivariable Lamé functions are symmetric meromorphic solutions of the elliptic Calogero-Sutherland N-particle Schrödinger equation with integer parameter. They are closely related to affine Jack polynomials at the critical level. In the case of two particles they reduce to Lame' polynomials. I will review this classical theory and discuss extensions of the results to the multiparticle case