# Popular Products and Continued Fractions

23 Aug 2018  ·  Moshchevitin Nikolay, Murphy Brendan, Shkredov Ilya ·

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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Number Theory Combinatorics