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Concept information

number > number theory > algebraic number theory > Roth's theorem
number > real number > Diophantine approximation > Roth's theorem

Terme préférentiel

Roth's theorem  

Définition(s)

  • In mathematics, Roth's theorem or Thue–Siegel–Roth 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 (1909), Carl Ludwig Siegel (1921), Freeman Dyson (1947), and Klaus Roth (1955).
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Roth%27s_theorem)

Concept(s) générique(s)

Synonyme(s)

  • Thue-Siegel-Roth theorem

Traductions

URI

http://data.loterre.fr/ark:/67375/PSR-KFJ2KP3Q-W

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RDF/XML TURTLE JSON-LD Date de création 30/08/2023, dernière modif. 30/08/2023