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arXiv · 1808.02947

The Differences Between Consecutive Smooth Numbers

D R Heath-Brown
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Abstract

We show that large gaps between smooth numbers are infrequent. The key new tool is a novel mean value bound for a special type of Dirichlet polynomial.

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D R Heath-Brown. 2018-08-08. The Differences Between Consecutive Smooth Numbers. https://doi.org/10.4064/aa170913-11-7

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