An Improvement To Zaremba's Conjecture

2013/10/14 by ShinnYih Huang, Huang, ShinnYih
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1310.3772

42 pages, 2 appendices

arxiv created 2014/11/05 · arxiv updated 2014/11/06

Abstract

We prove there exists a density one subset \dd ⊂ \N such that each n ∈ \dd is the denominator of a finite continued fraction with partial quotients bounded by 5.

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