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arXiv · 1707.09048

The Multiplication table for Smooth integers

Marzieh Mehdizadeh
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Abstract

The Erd\H{o}s multiplication table problem asks what is the number of distinct integers appearing in the $N\times N$ multiplication table. The order of magnitude of this quantity was determined by Ford in 2008. In this paper we study the number of $y-$smooth entries of the $N\times N$ multiplication table that is to say entries with no prime factors greater than $y$.

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Marzieh Mehdizadeh. 2017-07-27. The Multiplication table for Smooth integers. https://arxiv.org/abs/1707.09048

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