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arxiv: 1103.0422 · v2 · submitted 2011-03-02 · 🧮 math.NT

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On Zaremba's Conjecture

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keywords thereboundedconjectureconstantdensityintegerspartialpositive
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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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