Artículos de revistas
Elliptic Selberg integrals
Registro en:
International Mathematics Research Notices: 1083-1110
1687-0247
Autor
Van Diejen, J.F.
Spiridonov, V.P.
Institución
Resumen
Van Diejen, J.F. Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile. We introduce new Selberg-type multidimensional integrals built of Ruijsenaars' elliptic gamma functions. We show that the vanishing of our integrals for a specific parameter hypersurface implies closed evaluation formulas valid for the full parameter space. The resulting integration formulas contain the Macdonald-Morris constant term identities for nonreduced root systems as special limiting cases.