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arXiv · 0811.3151

The asymptotic distribution of the largest prime divisor

Arie Leizarowitz
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Abstract

We consider the Dickman function $Ψ(x,y)$ 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 $ln y$.

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Arie Leizarowitz. 2008-11-19. The asymptotic distribution of the largest prime divisor. https://arxiv.org/abs/0811.3151

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