Large deviation asymptotics for a random variable with Lévy measure supported by $[0,1]$

Richard Arratia, Fred Kochman, Sandy Zabell

Asymptotics for Dickman's number theoretic function $\rho (u)$, as $u\to \infty$, were given de Bruijn and Alladi, and later in sharper form by Hildebrand and Tenenbaum. The p…