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arXiv · 1808.05845

Popular Products and Continued Fractions

Nikolay Moshchevitin·Brendan Murphy·Ilya Shkredov
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Abstract

We prove bounds for the popularity of products of sets with weak additive structure, and use these bounds to prove results about continued fractions. Namely, we obtain a nearly sharp upper bound for the cardinality of Zaremba's set modulo $p$.

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Nikolay Moshchevitin, Brendan Murphy, Ilya Shkredov. 2018-08-17. Popular Products and Continued Fractions. https://arxiv.org/abs/1808.05845

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