The asymptotic distribution of the largest prime divisor

Details The asymptotic distribution of the largest prime divisor The asymptotic distribution of the largest prime divisor

2008-11-19

arxiv.org/abs/0811.3151v1

Mathematics

Number Theory

35 p

Scientific paper

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 $ln y$.

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