manuscripta mathematica

, Volume 21, Issue 2, pp 173–180 | Cite as

On lower bounds for polynomials in the values of E-functions

  • Keijo Väänänen


The paper considers polynomials in α,f1(α),...,fs(α), where α is an algebraic number satisfying certain conditions and f1(z),...,fs(z) are some E-functions, algebraically independent over the field of rational functions. Explicit lower bounds in terms of the heights of α and the polynomial are obtained for the absolute values of these polynomials. The result is proved by using the method of Siegel and Šidlovskii.


Lower Bound Rational Function Number Theory Algebraic Geometry Topological Group 
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Copyright information

© Springer-Verlag 1977

Authors and Affiliations

  • Keijo Väänänen
    • 1
  1. 1.Department of MathematicsUniversity of OuluOulu 10Finland

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