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arxiv: 1107.3776 · v2 · submitted 2011-07-19 · 🧮 math.NT

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On Zaremba's Conjecture

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classification 🧮 math.NT
keywords conjecturezarembaabsoluteappearsboundedconfirmconstantcontinued
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Zaremba's 1971 conjecture predicts that every integer appears as the denominator of a finite continued fraction whose partial quotients are bounded by an absolute constant. We confirm this conjecture for a set of density one.

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