2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111422Let a be an integer and q a prime number. In this paper, we find an asymptotic formula for the number of positive integers n < x with the property that no divisor d > 1 of n lies in the arithmetic progression a modulo q.37 pagesNumber Theory11A05, 11A25, 11N37text