2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/184902We calculate connected correlators in Gaussian orthogonal, unitary and symplectic random matrix ensembles by the replica method in the 1/N-expansion. We obtain averaged one-point Green's functions up to the next-to-leading order O(1/N) and wide two-level correlators up to the first nontrivial order O(1/N^2) and wide three-level correlators up to the first nontrivial order $O(1/N^4)$ by carefully treating fluctuations in saddle-point evaluation.LaTeX 21 pages, a new result on wide three-level correlators addedCondensed Mattertext