Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
open problem in mathematics
conjecture in number theory |
| gptkbp:concerns |
complex numbers
exponential function algebraic independence |
| gptkbp:field |
gptkb:mathematics
transcendental number theory |
| gptkbp:formedBy |
gptkb:Stephen_Schanuel
1966 |
| https://www.w3.org/2000/01/rdf-schema#label |
Schanuel's conjecture
|
| gptkbp:implies |
gptkb:Gelfond–Schneider_theorem
gptkb:Lindemann–Weierstrass_theorem |
| gptkbp:namedAfter |
gptkb:Stephen_Schanuel
|
| gptkbp:sentence |
For any n complex numbers z1,...,zn linearly independent over the rationals, the field extension Q(z1,...,zn,e^{z1},...,e^{zn}) has transcendence degree at least n over Q.
|
| gptkbp:status |
unproven
|
| gptkbp:bfsParent |
gptkb:Stephen_Schanuel
|
| gptkbp:bfsLayer |
7
|