Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
values of indefinite quadratic forms at integer points
|
| gptkbp:field |
number theory
quadratic forms |
| https://www.w3.org/2000/01/rdf-schema#label |
Oppenheim conjecture
|
| gptkbp:proposedBy |
gptkb:Alexander_Oppenheim
|
| gptkbp:provenBy |
gptkb:Grigory_Margulis
|
| gptkbp:relatedTo |
gptkb:Diophantine_approximation
gptkb:Lie_groups ergodic theory homogeneous dynamics |
| gptkbp:sentence |
If Q is a real, indefinite, nondegenerate quadratic form in n ≥ 3 variables, not proportional to a rational form, then Q takes values arbitrarily close to zero at integer points other than the origin.
|
| gptkbp:status |
proved
|
| gptkbp:yearProposed |
1929
|
| gptkbp:yearProved |
1986
|
| gptkbp:bfsParent |
gptkb:Gregory_Margulis
gptkb:Grigory_Margulis |
| gptkbp:bfsLayer |
4
|