2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77846In this paper,we count the rational points on the weighted projective spaces defined over number fields w.r.t. ``size''. An asymptotic formula which generalizes the result of Schanuel's ``Heights in number fields'' is obtained. Furthermore, we count also the rational points on the product of weighted projective spaces.Algebraic GeometryNumber Theorytext