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Diophantische Approximationen in imaginär quadratischen Zahlkörpern

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Literatur

  1. N. Hofreiter, Über die Approximation von komplexen Zahlen. Mh. Math. Phys.42 (1935) 401–416.

    Article  MathSciNet  MATH  Google Scholar 

  2. O. Perron, Diophantische Approximationen in imaginär quadratischen Zahlkörpern. Math. Zeitschr.37 (1933), 749–767 (dort ist weitere Literatur).

    Article  MathSciNet  MATH  Google Scholar 

  3. H. Minkowski, Geometrie der Zahlen § 39.

  4. L. R. Ford, On the closeness of approach of complex rational fractions to a complex irrational number. Trans. Am. Math. Soc.27 (1925), 146–154.

    Article  MathSciNet  MATH  Google Scholar 

  5. H. Gintner, Über Kettenbruchentwicklung und über die Approximation von komplexen Zahlen. Dissertation, Wien 1936.

  6. L. Bianchi, Sui gruppi di sostituzioni lineari con coeffizienti appartenenti a corpi quadratici immaginari. Math. Ann.40 (1892) 332–412.

    Article  MathSciNet  Google Scholar 

  7. H. Poincaré, Les groups kleinéens. Acta math.3 (1883) 49–92.

    Article  MathSciNet  Google Scholar 

  8. Fricke-Klein, Automorphe Funktionen. insb. S. 76–93, 446–500.

  9. L. R. Ford, Rational approximations to irrational complex numbers. Trans. Am. Math. Soc.19 (1918) 1–42.

    MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Wien, Austria

    Nikolaus Hofreiter

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  1. Nikolaus Hofreiter
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Hofreiter, N. Diophantische Approximationen in imaginär quadratischen Zahlkörpern. Monatsh. f. Mathematik und Physik 45, 175–190 (1936). https://doi.org/10.1007/BF01707985

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  • DOI: https://doi.org/10.1007/BF01707985

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