Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:field |
number theory
transcendental number theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Gelfond–Schneider theorem
|
| gptkbp:implies |
2^√2 is transcendental
e^π is transcendental |
| gptkbp:namedAfter |
gptkb:Theodor_Schneider
gptkb:Aleksandr_Gelfond |
| gptkbp:publishedIn |
gptkb:Mathematische_Annalen
|
| gptkbp:solvedBy |
gptkb:Hilbert's_seventh_problem
|
| gptkbp:state |
If a and b are algebraic numbers with a ≠ 0, a ≠ 1, and b is irrational, then any value of a^b is transcendental.
|
| gptkbp:yearProved |
1934
|
| gptkbp:bfsParent |
gptkb:Alexander_Gelfond
|
| gptkbp:bfsLayer |
6
|