Skip to main content
SpringerLink
Log in

On Thue's equation

  • Published:
Inventiones mathematicae Aims and scope

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Bombieri, E., Mueller, J.: On effective measures of irrationality for\(\sqrt[r]{{\frac{a}{b}}}\) and related numbers. J. Reine Angew. Math.342, 173–196 (1983)

    Google Scholar 

  2. Evertse, J.-H.: Upper bounds for the number of solutions of diophantine equations. Math. Centrum. Amsterdam, pp. 1–127 (1983)

  3. Evertse, J.-H.: On the representation of integers by binary cubic forms of positive discriminant. Invent. Math.73, 117–138 (1983)

    Google Scholar 

  4. Hooley, C.: On the representations of numbers by binary cubic forms. Glasgow Math. J.27, 95–98 (1985)

    Google Scholar 

  5. Lewis, D., Mahler, K.: Representation of integers by binary forms. Acta Arith.6, 333–363 (1961)

    Google Scholar 

  6. Mahler, K.: An inequality for the discriminant of a polynomial. Michigan Math. J.11, 257–262 (1964)

    Google Scholar 

  7. Mahler, K.: On Thue's theorem. Austr. Nat. Univ. Res. Rep. 24 (1982). Math. Scand.55, 188–200 (1984)

    Google Scholar 

  8. Siegel, C.L.: Über einige Anwendungen diophantischer Approximationen. Abh. Preuss. Akad. Wiss. Phys. Math. Kl. (1929), N° 1. Gesammelte Abhandlungen, Bd. 1, pp. 209–266. Berlin Heidelberg New York: Springer-Verlag 1966

  9. Silverman, J.H.: Representation of integers by binary forms and the rank of the Mordell-Weil group. Invent. Math.74, 218–292 (1983)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Institute for Advanced Study, 08540, Princeton, NJ, USA

    E. Bombieri & W. M. Schmidt

  2. Department of Mathematics, University of Colorado, 80309, Boulder, CO, USA

    W. M. Schmidt

Authors
  1. E. Bombieri
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. W. M. Schmidt
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bombieri, E., Schmidt, W.M. On Thue's equation. Invent Math 88, 69–81 (1987). https://doi.org/10.1007/BF01405092

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01405092

Search

Navigation