2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/132112We obtain large n asymptotics for products of powers of the absolute values of the characteristic polynomials in the Gaussian Unitary Ensemble of n\times n matrices. Our results can also be interpreted as asymptotics of the determinant of a Hankel matrix whose symbol is supported on the real line and possesses power-like (Fisher-Hartwig) singularities.35 pages, 5 figuresMathematical Physicstext