|Topic:||On Zaremba's Conjecture on Continued Fractions|
|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.