Skip to main content
Log in

A note on Siegel's Lemma over number fields

  • Published:
Monatshefte für Mathematik Aims and scope Submit manuscript

Abstract

We show that some power of the discriminant must appear in the upper bound of the formulation of Siegel's Lemma over a number field.

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.

Similar content being viewed by others

References

  1. Bombieri, E., Vaaler, J.: On Siegel's Lemma. Invent. Math.73, 11–32 (1983).

    Google Scholar 

  2. Gordan, P.: Über der grössten gemeinsamen factor. Math. Annalen7, 443–448 (1873).

    Google Scholar 

  3. Hecke, E.: Lectures on the Theory of Algebraic Numbers. Berlin: Springer 1981.

    Google Scholar 

  4. Schmidt, W.: On Heights of Algebraic Subspaces and Diophantine Approximation. Ann. of Math.85, 430–472 (1967).

    Google Scholar 

  5. Silverman, J.: Lower Bounds for Height Functions. Duke Math. J.51, 395–403 (1984).

    Google Scholar 

  6. Thunder, J.: Asymptotic Estimates for Rational Points of Bounded Height on Flag Varieties. Comp. Math.88, 155–186 (1993).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

First author partially supported by NSERC

Rights and permissions

Reprints and permissions

About this article

Cite this article

Roy, D., Thunder, J.L. A note on Siegel's Lemma over number fields. Monatshefte für Mathematik 120, 307–318 (1995). https://doi.org/10.1007/BF01294863

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01294863

1991 Mathematics Subject Classification

Key words

Navigation