# On Zaremba's Conjecture on Continued Fractions

 Analysis Seminar Topic: On Zaremba's Conjecture on Continued Fractions Speaker: Jean Bourgain Affiliation: Professor, School of Mathematics Date: Tuesday, February 14 Time/Room: 2:30pm - 3:30pm/S-101

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.