Geodesic
On Zaremba’s conjecture
Jean Bourgain1 ; Alex Kontorovich2
1 School of Mathematics, Institute for Advanced Study, Einstein Drive, Princeton, NJ 08540
2 Stony Brook University, Stony Brook, NY
Annals of mathematics, Tome 180 (2014) no. 1, pp. 137-196.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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.
DOI : 10.4007/annals.2014.180.1.3

Jean Bourgain 1 ; Alex Kontorovich 2

1 School of Mathematics, Institute for Advanced Study, Einstein Drive, Princeton, NJ 08540
2 Stony Brook University, Stony Brook, NY 
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Jean Bourgain; Alex Kontorovich. On  Zaremba’s conjecture. Annals of mathematics, Tome 180 (2014) no. 1, pp. 137-196. doi : 10.4007/annals.2014.180.1.3. http://geodesic.mathdoc.fr/articles/10.4007/annals.2014.180.1.3/

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