2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/103667In this paper, we prove that the derivative of the Iwasawa power series associated to p-adic L-functions of $\mathbb Q(ζ\_p)$ are not divisible by p. This extends previous results obtained by Ferrero and Washington in 1979.Number TheoryOn some p-adic power series attached to the arithmetic of $\mathbb Q(ζ\_p).$text