2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107361We show that for every finite symetric set S of integer vectors, every real trigonometric polynomial on the d dimensional torus with spectrum in S has a zero in every closed ball of diameter D, where D is the sum over S of 1 over 4 times the L2 norm of the vector. We investigate tightness in some special cases.7 pagesClassical Analysis and ODEs42A05, 42B99, 30C15, 26C10text