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arxiv: 1107.3776 · v2 · pith:JKU7DB5Tnew · submitted 2011-07-19 · 🧮 math.NT

On Zaremba's Conjecture

Jean Bourgain , Alex Kontorovich This is my paper
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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    math.NT 2026-05 unverdicted novelty 7.0

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