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In mathematics, Shimura's reciprocity law, introduced by Shimura, describes the action of ideles of imaginary quadratic fields on the values of modular functions at singular moduli. It forms a part of the Kronecker Jugendtraum, explicit class field theory for such fields. There are also higher-dimensional generalizations.

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  • 志村の相互法則 (ja)
  • Shimura's reciprocity law (en)
  • Shimuras reciprocitetslag (sv)
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  • In mathematics, Shimura's reciprocity law, introduced by Shimura, describes the action of ideles of imaginary quadratic fields on the values of modular functions at singular moduli. It forms a part of the Kronecker Jugendtraum, explicit class field theory for such fields. There are also higher-dimensional generalizations. (en)
  • 数学において、志村の相互法則（しむらのそうごほうそく、英: Shimura's reciprocity law）は、におけるモジュラー函数の値への虚二次体のイデールの作用を記述する。 Shimuraにより導入された。そのような体に対する明示的な類体論であるクロネッカーの青春の夢の一部をなす。高次元への一般化もある。 (ja)
  • Inom matematiken är Shimuras reciprocitetslag, introducerad av Shimura, ett resultat som beskriver verkan av av på värdena av vid singulärt moduli. Den bildar en del av Hilberts tolfte problem, explicit för sådana kroppar. Det finns även högre-dimensionella generaliseringar. (sv)
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  • In mathematics, Shimura's reciprocity law, introduced by Shimura, describes the action of ideles of imaginary quadratic fields on the values of modular functions at singular moduli. It forms a part of the Kronecker Jugendtraum, explicit class field theory for such fields. There are also higher-dimensional generalizations. (en)
  • 数学において、志村の相互法則（しむらのそうごほうそく、英: Shimura's reciprocity law）は、におけるモジュラー函数の値への虚二次体のイデールの作用を記述する。 Shimuraにより導入された。そのような体に対する明示的な類体論であるクロネッカーの青春の夢の一部をなす。高次元への一般化もある。 (ja)
  • Inom matematiken är Shimuras reciprocitetslag, introducerad av Shimura, ett resultat som beskriver verkan av av på värdena av vid singulärt moduli. Den bildar en del av Hilberts tolfte problem, explicit för sådana kroppar. Det finns även högre-dimensionella generaliseringar. (sv)
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