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A Parametric Family of Quintic Thue Equations II

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Abstract.

 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.

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Authors and Affiliations

  1.  University of Debrecen, Hungary, , , , , , HU

    István Gaál

  2.  Karl-Franzens-Universität, Graz, Austria, , , , , , AT

    Günter Lettl

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  1. István Gaál
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  2. Günter Lettl
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(Received 25 January 2000; in revised form 10 April 2000)

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Gaál, I., Lettl, G. A Parametric Family of Quintic Thue Equations II. Mh Math 131, 29–35 (2000). https://doi.org/10.1007/s006050070022

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  • DOI: https://doi.org/10.1007/s006050070022

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