Transcendental number theory
GPTKB entity
Statements (50)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
irrational numbers
numbers not roots of nonzero polynomial equations with rational coefficients |
| gptkbp:hasApplication |
gptkb:Hilbert's_seventh_problem
gptkb:Diophantine_approximation algebraic independence periods of abelian varieties solutions to exponential equations values of special functions |
| https://www.w3.org/2000/01/rdf-schema#label |
Transcendental number theory
|
| gptkbp:notableAchievement |
gptkb:Gelfond–Schneider_theorem
gptkb:Baker's_theorem gptkb:Lindemann–Weierstrass_theorem |
| gptkbp:notablePerson |
gptkb:Ferdinand_von_Lindemann
gptkb:Theodor_Schneider gptkb:Alan_Baker gptkb:Charles_Hermite gptkb:Joseph_Liouville gptkb:Aleksandr_Gelfond |
| gptkbp:relatedTo |
algebraic number theory
|
| gptkbp:studies |
gptkb:Hilbert's_problems
gptkb:Siegel's_theorem gptkb:Schanuel's_conjecture gptkb:Liouville_numbers gptkb:Mahler's_method gptkb:Wirsing's_theorem elliptic functions modular functions exponential function periods algebraic numbers irrationality measures linear forms in logarithms transcendental numbers special values of L-functions algebraic independence of logarithms of algebraic numbers algebraic independence of values of special functions algebraic independence of numbers algebraic independence of periods algebraic independence of values of L-functions algebraic independence of values of gamma function algebraic independence of values of zeta function logarithmic function transcendence degree transcendence of constants such as π and e algebraic independence of values of elliptic functions algebraic independence of values of exponential functions algebraic independence of values of modular functions |
| gptkbp:bfsParent |
gptkb:Baker's_theorem
|
| gptkbp:bfsLayer |
7
|