%0 Journal Article
%T On Zaremba's Conjecture
%A Jean Bourgain
%A Alex Kontorovich
%J Mathematics
%D 2011
%I arXiv
%X 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.
%U http://arxiv.org/abs/1107.3776v2