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.