2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65357An analogue of the convergence part of the Khintchine-Groshev theorem, as well as its multiplicative version, is proved for nondegenerate smooth submanifolds in $\mathbb{R}^n$. The proof combines methods from metric number theory with a new approach involving the geometry of lattices in Euclidean spaces.27 pagesNumber TheoryDynamical Systems11J83text