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Simultaneous approximations of algebraic numbers [following W. M. Schmidt]

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Séminaire Bourbaki vol. 1971/72 Exposés 400–417

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 317))

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References

  1. J. W. S. CASSELS-An Introduction to Diophantine Approximation, Cambridge Univ. Press, 1957.

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  2. K. MAHLER-On Compound Convex Bodies I., Proc. London Math. Soc., (3) 5 (1955), 358–379.

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  3. E. WIRSING-On Approximations of Algebraic Numbers by Algebraic Numbers of Bounded Degree, Proc. Symposia Pure Math., XX (1969), 213–247.

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Schmidt's proof appears in three papers

  1. W. M. SCHMIDT-Zür simultanen Approximation algebraischer Zahlen durch rationale, Acta Math., 114 (1965), 159–209.

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  2. -On simultaneous approximations of two algebraic numbers by rationals, Acta Math., 119 (1967), 27–50.

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  3. -Simultaneous approximation to algebraic numbers by rationals, Acta Math., 125 (1970), 189–201.

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Authors
  1. Enrico Bombieri
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A. Dold B. Eckmann

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© 1973 N. Bourbaki

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Bombieri, E. (1973). Simultaneous approximations of algebraic numbers [following W. M. Schmidt]. In: Dold, A., Eckmann, B. (eds) Séminaire Bourbaki vol. 1971/72 Exposés 400–417. Lecture Notes in Mathematics, vol 317. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069273

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  • DOI: https://doi.org/10.1007/BFb0069273

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06179-3

  • Online ISBN: 978-3-540-38403-8

  • eBook Packages: Springer Book Archive

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