Integers with a large smooth divisor

William D. Banks; Igor E. Shparlinski

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arXiv · math/0601460

Integers with a large smooth divisor

William D. Banks·Igor E. Shparlinski

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Abstract

We study the function $Θ(x,y,z)$ that counts the number of positive integers $n\le x$ which have a divisor $d>z$ with the property that $p\le y$ for every prime $p$ dividing $d$. We also indicate some cryptographic applications of our results.

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William D. Banks, Igor E. Shparlinski. 2006-01-19. Integers with a large smooth divisor. https://arxiv.org/abs/math/0601460

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