Monatshefte für Mathematik

, Volume 131, Issue 1, pp 29–35 | Cite as

A Parametric Family of Quintic Thue Equations II

  • István Gaál
  • Günter Lettl


 In this paper we completely solve the family of Thue equations

where \(\) is an integral parameter. In particular, for \(\), the only solutions are the trivial ones with x = 0 or y = 0. The result is achieved by sharpening the estimates of part I of the paper and by solving \(\) Thue equations with the method of Bilu and Hanrot.

1991 Mathematics Subject Classification: 11D59 11Y50 
Key words: Parametric Thue equation Baker’s method Bilu-Hanrot method 


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Copyright information

© Springer-Verlag Wien 2000

Authors and Affiliations

  • István Gaál
    • 1
  • Günter Lettl
    • 2
  1. 1. University of Debrecen, HungaryHU
  2. 2. Karl-Franzens-Universität, Graz, AustriaAT

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