Delange's Tauberian theorem and asymptotic normality of random ordered factorizations of integers

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/220690By a suitable shifting-the-mean parametrization at the Dirichlet series level and Delange's Tauberian theorems, we show that the number of factors in random ordered factorizations of integers is asymptotically normally distributed.14 pagesNumber Theory10K20Delange's Tauberian theorem and asymptotic normality of random ordered factorizations of integerstext