Roth's theorem
In mathematics, Roth's theorem is a fundamental result in diophantine approximation to algebraic numbers. It is of a qualitative type, stating that algebraic numbers cannot have many rational number approximations that are 'very good'. Over half a century, the meaning of very good here was refined by a number of mathematicians, starting with Joseph Liouville in 1844 and continuing with work of Axel Thue , Carl Ludwig Siegel , Freeman Dyson , and Klaus Roth .
known for
1955 in science1958 in the United KingdomAbc conjectureAxel ThueCarl Ludwig SiegelDavenport–Schmidt theoremDiophantine geometryDirichlet's approximation theoremEduard WirsingEffective results in number theoryFields MedalFreeman_DysonGerd FaltingsHans Peter SchlickeweiKlaus RothLiouville numberList of number theory topicsList of theoremsLow-discrepancy sequenceLucien SzpiroMoser–De Bruijn sequenceNevanlinna theoryRoth theoremSalem–Spencer setSiegel's theorem on integral pointsStørmer's theoremSubspace theoremSzpiro's conjectureThue's theoremThue-Siegel-RothThue-Siegel-Roth theoremThue-Siegel-Schneider-Roth TheoremThue-Siegel-Schneider-Roth theoremThue equationThue–Siegel–RothThue–Siegel–Roth theoremTranscendental number theoryWronskian
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Roth's theorem
In mathematics, Roth's theorem is a fundamental result in diophantine approximation to algebraic numbers. It is of a qualitative type, stating that algebraic numbers cannot have many rational number approximations that are 'very good'. Over half a century, the meaning of very good here was refined by a number of mathematicians, starting with Joseph Liouville in 1844 and continuing with work of Axel Thue , Carl Ludwig Siegel , Freeman Dyson , and Klaus Roth .
has abstract
En mathématiques, le théorème ...... th la médaille Fields en 1958.
@fr
In de getaltheorie, een deelge ...... oals werd vermoed door Siegel.
@nl
In mathematics, Roth's theorem ...... eeman Dyson , and Klaus Roth .
@en
Twierdzenie Rotha lub Thuego-S ...... a przypadek liczb p-adycznych.
@pl
トゥエ・ジーゲル・ロスの定理（英: Thue–Siegel– ...... n Dyson , Klaus Roth らの仕事が続いた。
@ja
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Axel Thue
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Carl Ludwig Siegel
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Freeman Dyson
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Klaus Roth
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first
Axel
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Carl Ludwig
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Freeman
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Klaus
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Dyson
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Roth
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Siegel
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Thue
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En mathématiques, le théorème ...... th la médaille Fields en 1958.
@fr
In de getaltheorie, een deelge ...... oals werd vermoed door Siegel.
@nl
In mathematics, Roth's theorem ...... eeman Dyson , and Klaus Roth .
@en
Twierdzenie Rotha lub Thuego-S ...... rać liczbę C(ε), by nierówność
@pl
トゥエ・ジーゲル・ロスの定理（英: Thue–Siegel– ...... n Dyson , Klaus Roth らの仕事が続いた。
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label
Roth's theorem
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Satz von Thue-Siegel-Roth
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Stelling van Thue-Siegel-Roth
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Théorème de Roth
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Twierdzenie Thue-Siegela-Rotha
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Теорема Туэ — Зигеля — Рота
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トゥエ・ジーゲル・ロスの定理
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