Integers with a large smooth divisor

Details Integers with a large smooth divisor Integers with a large smooth divisor

2006-01-19

arxiv.org/abs/math/0601460v1

Mathematics

Number Theory

Scientific paper

We study the function $\Theta(x,y,z)$ 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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