Diophantine approximation

URI: https://gptkb.org/entity/Diophantine_approximation

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:mathematical_concept
gptkbp:application	gptkb:geometry_of_numbers gptkb:metric_number_theory transcendence proofs
gptkbp:field	number theory
https://www.w3.org/2000/01/rdf-schema#label	Diophantine approximation
gptkbp:notableAchievement	gptkb:Dirichlet's_approximation_theorem gptkb:Khintchine's_theorem gptkb:Liouville's_theorem gptkb:Roth's_theorem gptkb:Thue–Siegel–Roth_theorem
gptkbp:notablePerson	gptkb:Harold_Davenport gptkb:Joseph_Liouville gptkb:Klaus_Roth gptkb:Kurt_Mahler gptkb:Aleksandr_Khinchin gptkb:Carl_Ludwig_Siegel gptkb:Axel_Thue
gptkbp:relatedConcept	gptkb:Littlewood_conjecture gptkb:subspace_theorem continued fractions simultaneous approximation Diophantine exponent irrationality measure linear forms in logarithms metric Diophantine approximation p-adic Diophantine approximation transcendental numbers
gptkbp:relatedTo	gptkb:Diophantine_equations transcendental number theory
gptkbp:studies	approximation of real numbers by rational numbers
gptkbp:bfsParent	gptkb:Kronecker's_theorem gptkb:Weyl's_equidistribution_theorem gptkb:geometry_of_numbers gptkb:Dmitry_Kleinbock gptkb:Oppenheim_conjecture
gptkbp:bfsLayer	5