Skip to main content
Log in

On the Thue-Siegel-Dyson theorem

  • Published:
Acta Mathematica

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

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

    MATH  Google Scholar 

  2. — Simultaneous rational approximations to certain algebraic numbers.Proc. Camb. Phil. Soc., 63 (1967), 693–702.

    Article  MATH  Google Scholar 

  3. Baker, A. The theory of linear forms in logarithms. InTranscendence Theory: Advances and Applications. Baker, A., & Masser, D. W. ed. Academic Press 1977.

  4. Baker, A. Recent advances in transcendence theory.Proceedings of International Conference on Number Theory, Moscow 1971, 67–69.

  5. Bombieri, E., On G-functions. InRecent Progress in Analytic Number Theory, vol II. H. Halberstam & C. Hooley ed., Academic Press 1981.

  6. Dyson, F., The approximation to algebraic numbers by rationals.Acta Math., 79 (1947), 225–240.

    Article  MATH  MathSciNet  Google Scholar 

  7. Feldman, N. I.. An effective refinement of the exponent in Liouville's theorem (Russian).Izv. Akad. Nauk SSSR Ser. Mat., 35 (1971), 973–990. AlsoMath. USSR-Izv., 5 (1971), 985–1002.

    MATH  MathSciNet  Google Scholar 

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

    MATH  Google Scholar 

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

    Google Scholar 

  10. Lang, S.,Diophantine geometry. Interscience Publishers Inc., New York-London 1962.

    MATH  Google Scholar 

  11. Mahler, K., Inequalities for ideal bases in algebraic number fields.J. Austral. Math. Soc., IV (1964), 425–448.

    Article  MathSciNet  Google Scholar 

  12. Stark, H. M., An explanation of some exotic continued fractions found by Brillhart.Computers in Number Theory (Proc. Sci. Res. Council Atlas Symp. No. 2 Oxford 1969), pp. 21–35. Academic Press, London 1971.

    Google Scholar 

  13. Thue, A.,Selected mathematical papers. Universitet-forlaget Oslo-Bergen-Tromsø, 1977.

    MATH  Google Scholar 

  14. Weil, A., Arthmetic on algebraic varieties.Ann. of Math., 53 (1951), 412–444.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bombieri, E. On the Thue-Siegel-Dyson theorem. Acta Math 148, 255–296 (1982). https://doi.org/10.1007/BF02392731

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02392731

Keywords

Navigation