On a family of Thue equations of degree $16$
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Abstract:
We consider a parameterized family of Thue equations of degree $16$. By reducing this family to a system of Pell equations and linear relations, we are able to solve this family.References
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Additional Information
- Volker Ziegler
- Affiliation: Institute for Analysis and Computational Number Theory, Graz University of Technology, Steyrergasse 30/IV, A-8010 Graz, Austria
- Address at time of publication: Institute of Mathematics, University of Debrecen, H-4010 Debrecen, P.O. Box 12, Hungary
- MR Author ID: 744740
- Email: ziegler@finanz.math.tugraz.at
- Received by editor(s): November 12, 2008
- Received by editor(s) in revised form: August 13, 2009
- Published electronically: April 29, 2010
- Additional Notes: The author gratefully acknowledges support from the Austrian Science Fund (FWF) under project Nr. S9603
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Math. Comp. 79 (2010), 2407-2429
- MSC (2010): Primary 11D59, 11Y50
- DOI: https://doi.org/10.1090/S0025-5718-10-02354-9
- MathSciNet review: 2684373