2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219999We investigate the behavior of some thin sets of integers defined through random trigonometric polynomial when one replaces Gaussian or Rademacher variables by p-stable ones, with 1 < p < 2. We show that in one case this behavior is essentially the same as in the Gaussian case, whereas in another case, this behavior is entirely different.Functional AnalysisPrimary: 43A46 ; secondary: 42A55; 42A61; 60G52text