2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/97244For a convex body B in three-dimensional Euclidean space, which is invariant under rotations around one coordinate axis and has a smooth boundary of bounded nonzero curvature, the lattice point discrepancy (number of integer points minus volume) of a linearly enlarged copy of B is estimated from below. On the basis of a recent method of K. Soundararajan, an Omega-bound is obtained that improves upon all earlier results of this kind.9 pagesNumber Theory11P21text