On Zaremba's Conjecture [article]

Jean Bourgain, Alex Kontorovich
2013 arXiv   pre-print
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.
arXiv:1107.3776v2 fatcat:cumyi4mdzff4zcy6fj3fcg3kha