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On the solutions of a parametric family of cubic Thue equations

✍ Scribed by Alain Togbé


Publisher
Springer
Year
2008
Tongue
English
Weight
163 KB
Volume
39
Category
Article
ISSN
1678-7714

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A parametric family of cubic Thue equati
✍ Alain Togbé 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 258 KB

In this paper, we solve a family of Diophantine equations associated with families of number fields of degree 3. In fact, we find all solutions to the Thue equation

On Families of Parametrized Thue Equatio
✍ Clemens Heuberger 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 337 KB

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.