2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65355We give a direct approach to recover some of the results of Wiles and Tayor on modularity of certain 2-dimensional p-adic representations of the absolute Galois group of Q.Number Theory11RModularity of p-adic Galois representations via p-adic approximationstext