2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69985We outline a proof of an analogue of Khintchine's Theorem in R^2, where the ordinary height is replaced by a distance function satisfying an irrationality condition as well as certain decay and symmetry conditions.Number Theory11J83Metric Diophantine approximation with respect to planar distance functionstext