2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76146We prove that the convergence Khintchine theorem holds for affine hyperplanes whose parametrizing matrices satisfy a mild Diophantine condition. We use the dynamical method of Kleinbock-Margulis.14 pagesNumber TheoryDynamical Systems11K60,37A17text