KnowraDiophantine approximationLinked fromLinked fromThe 14 pages that link to Diophantine approximation, each with the reason it gives.All 14Related 6Narrower topic 8Continued fractionNarrower topic: Continued fractions provide systematic solutions to rational-approximation problems.Joseph LiouvilleNarrower topic: Liouville’s theorem is an early landmark in this broader subject.Dirichlet's approximation theoremNarrower topic: Dirichlet's theorem is a foundational universal result in this broader area.Siegel's lemmaNarrower topic: The lemma belongs to a tradition of deriving small integer relations through approximation.Apéry's theoremNarrower topic: The proof constrains rational approximations to ζ(3) until irrationality follows.Lochs's theoremNarrower topic: Continued-fraction prefixes encode strong rational approximations, linking the theorem to approximation precision.Thue's lemmaNarrower topic: Thue's lemma supplies small integer vectors used to derive rational approximations.Tijdeman's theoremNarrower topic: The proof's quantitative control of logarithmic expressions belongs to a broader approximation tradition.