A. Leizarowitz

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20072009

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math.NT2009

Iterated logarithm approximations to the distribution of the largest prime divisor

Arie Leizarowitz

The paper is concerned with estimating the number of integers smaller than $x$ whose largest prime divisor is smaller than $y$ , denoted $ψ (x, y)$ . Much of the related literature is…

math.NT2008

The asymptotic distribution of the largest prime divisor

Arie Leizarowitz

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…