An Improvement To Zaremba's Conjecture

Abstract

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.

42 pages, 2 appendices

References in corpus (2)

• A reinforcement of the Bourgain-Kontorovich's theorem by elementary methods
• A reinforcement of the Bourgain-Kontorovich's theorem

Cited by in corpus (1)

• Expanding maps and continued fractions