Thue–Siegel–Roth theorem

E1686047 UNEXPLORED

The Thue–Siegel–Roth theorem is a fundamental result in Diophantine approximation that gives an essentially optimal bound on how well algebraic irrational numbers can be approximated by rationals.

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All labels observed (3)

Label	Occurrences
Thue–Siegel–Roth theorem canonical	7
Roth’s theorem on Diophantine approximation	1
Thue–Siegel method	1

Referenced by (9)

Full triples — surface form annotated when it differs from this entity's canonical label.

Roth's theorem → relatedTo → Thue–Siegel–Roth theorem ⓘ

subject linked to: Roth theorem

Roth's theorem → alsoKnownAs → Thue–Siegel–Roth theorem ⓘ

subject linked to: Roth theorem

Subspace theorem → generalizes → Thue–Siegel–Roth theorem ⓘ

Subspace theorem → implies → Roth’s theorem on Diophantine approximation ⓘ

linked to: Thue–Siegel–Roth theorem

Siegel's theorem on integral points → relatedTo → Thue–Siegel–Roth theorem ⓘ

Siegel's theorem on integral points → proofTechnique → Thue–Siegel method ⓘ

linked to: Thue–Siegel–Roth theorem

Siegel’s lemma → relatedTo → Thue–Siegel–Roth theorem ⓘ

Liouville's inequality in Diophantine approximation → relatedConcept → Thue–Siegel–Roth theorem ⓘ

Liouville's inequality in Diophantine approximation → isWeakerThan → Thue–Siegel–Roth theorem ⓘ