2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170734By means of Peres-Schlag's method we prove the existence of real numbers $α, β$ such that $$ \liminf_{q\to \infty} (q\log^2 q)||αq|| ||βq|| > 0.5 pagesNumber Theorytext