For the family of parametrized Thue equations where n 4, d i distinct integers satisfying d i {0 or > d i {0, all solutions are determined for sufficiently large values of the integral parameter a using bounds on linear forms in logarithms.
Solving Thue Equations of High Degree
β Scribed by Yuri Bilu; Guillaume Hanrot
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 424 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0022-314X
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β¦ Synopsis
We propose a general method for numerical solution of Thue equations, which allows one to solve in reasonable time Thue equations of high degree (provided necessary algebraic number theory data is available). We illustrate our method, solving completely concrete Thue equations of degrees 19 and 33.
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