2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/173360We show that Selberg's eigenvalue conjecture concerning small eigenvalues of the automorphic Laplacian for congruence groups is equivalent to a conjecture about the non-existence of residual eigenvalues for a perturbed system. We prove this using a combination of methods from asymptotic perturbation theory and number theory.33pages, Various expository correctionsNumber TheorySpectral Theory11F72; 11M36text