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.