Statements (12)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
integer solutions to x^3 - y^2 = k
|
| gptkbp:field |
number theory
|
| gptkbp:formedBy |
1970s
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hall's conjecture
|
| gptkbp:namedAfter |
gptkb:Marshall_Hall,_Jr.
|
| gptkbp:relatedTo |
gptkb:Diophantine_equations
gptkb:abc_conjecture |
| gptkbp:state |
For any ε > 0, there are only finitely many integer solutions to |x^3 - y^2| < x^{1/2 - ε} for x, y > 0.
|
| gptkbp:status |
open problem
|
| gptkbp:bfsParent |
gptkb:abc_conjecture
|
| gptkbp:bfsLayer |
6
|