Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
continued fractions
|
| gptkbp:field |
number theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Zaremba's conjecture
|
| gptkbp:notableAchievement |
Bourgain and Kontorovich proved the conjecture for a set of integers of density one.
|
| gptkbp:notableProgressBy |
gptkb:Jean_Bourgain
gptkb:Alex_Kontorovich gptkb:Péter_P._Varjú |
| gptkbp:proposedBy |
gptkb:Stanisław_K._Zaremba
|
| gptkbp:relatedTo |
gptkb:Diophantine_approximation
gptkb:uniform_distribution lattice points |
| gptkbp:sentence |
For every positive integer n, there exists an integer a coprime to n such that all partial quotients in the continued fraction expansion of a/n are bounded by an absolute constant.
|
| gptkbp:status |
open
|
| gptkbp:yearProposed |
1971
|
| gptkbp:bfsParent |
gptkb:Stanisław_Zaremba
|
| gptkbp:bfsLayer |
7
|