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arxiv: 1310.3772 · v4 · pith:F3SUKKM2new · submitted 2013-10-14 · 🧮 math.NT

An Improvement To Zaremba's Conjecture

classification 🧮 math.NT
keywords subsetboundedconjecturecontinueddenominatordensityexistsfinite
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We prove there exists a density one subset $\dd \subset \N$ such that each $n \in \dd$ is the denominator of a finite continued fraction with partial quotients bounded by 5.

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