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arXiv · 1103.0422

On Zaremba's Conjecture

Jean Bourgain·Alex Kontorovich
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Abstract

It is shown that there is a constant A and a density one subset S of the positive integers, such that for all q in S there is some 1<=p<q, (p, q)=1, so that p/q has all its partial quotients bounded by A.

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Jean Bourgain, Alex Kontorovich. 2013-07-12. On Zaremba's Conjecture. https://arxiv.org/abs/1103.0422

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