The asymptotic distribution of the largest prime divisor

Abstract

We consider the Dickman function $\Psi (x,y)$ in the limit when $\ln x/\ln y\to \infty$ and $\ln \ln x\ln y\to 0$. The asymptotic value is expressed in terms of the ratio of iterated loragithm of $x$ and $lny$.

arXiv comment35 p