On Zaremba's Conjecture
Number Theory
2013-07-15 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1107.3776,
title = {On Zaremba's Conjecture},
author = {Jean Bourgain and Alex Kontorovich},
journal= {arXiv preprint arXiv:1107.3776},
year = {2013}
}
Comments
v.2 55 pages, 1 figure