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On thue’s principle and its applications

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Number Theory Noordwijkerhout 1983

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1068))

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References

  1. A. Baker, The Theory of Linear Forms in Logarithms. In "Transcendence Theory: Advances and Applications", A. Baker & D.W. Masser ed., New York-London 1977.

    Google Scholar 

  2. A. Baker, Rational approximations to \(\sqrt[3]{2}\) and other algebraic numbers Quart. J. Math. Oxford 15(1964), 375–383.

    Article  MATH  Google Scholar 

  3. E. Bombieri, On the Thue-Siegel-Dyson Theorem, Acta Mathematica 148 (1982), 255–296.

    Article  MathSciNet  MATH  Google Scholar 

  4. _____ and J. Mueller, On effective measures of irrationality for \(\sqrt[2]{{\tfrac{a}{b}}}\) and related numbers, J. reine angew. Math. 342 (1983).

    Google Scholar 

  5. _____ and J. Mueller, Remarks on the approximation to an algebraic number by algebraic numbers, to appear.

    Google Scholar 

  6. G.V. Chudnovsky, On the method of Thue-Siegel, Annals of Math. 117 (1983), 325–382.

    Article  MathSciNet  MATH  Google Scholar 

  7. N.I. Feldman, An effective refinement of the exponent in Liouville’s theorem (Russian), Izv. Akad. Nauk 35 (1971), 973–990. Also Math USSR Izv. 5 (1971), 985–1002.

    Google Scholar 

  8. A.O. Gelfond, Transcendental and algebraic numbers, English translation by L.F. Boron, New York 1960.

    Google Scholar 

  9. K. Mahler, Zur Approximation algebraischer Zahlen. I. (Über den größten Primteiler binarer Formen.), Math. Annalen 107, 1933, 691–730.

    Article  MathSciNet  MATH  Google Scholar 

  10. W.M. Schmidt, Diophantine Approximation, Springer Lecture Notes in Mathematics, 785.

    Google Scholar 

  11. A. Thue, Über Annäherungswerte algebraischer Zahlen, J. reine angew. Math. 135(1909), 284–305.

    MathSciNet  Google Scholar 

  12. E. Wirsing, Approximation mit algebraischen Zahlen beschränkten Grades, J. reine angew. Math. 206 (1961), 66–77.

    MathSciNet  MATH  Google Scholar 

  13. S., Hyyrö, Über rationale Näherungswerte algebraischer Zahlen, Ann. Acad. Sci. Fenn. Ser. A I. Math. 376 (1965), 1–15.

    MATH  Google Scholar 

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Hendrik Jager

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© 1984 Springer-Verlag

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Mueller, J. (1984). On thue’s principle and its applications. In: Jager, H. (eds) Number Theory Noordwijkerhout 1983. Lecture Notes in Mathematics, vol 1068. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099450

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  • DOI: https://doi.org/10.1007/BFb0099450

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  • Print ISBN: 978-3-540-13356-8

  • Online ISBN: 978-3-540-38906-4

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