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Solving certain Thue equations with the aid of Mathematica

A. Heimonen
Journal / Anthology

Innovation in Mathematics: Proceedings of the Second International Mathematica Symposium
Year: 1997
Page range: 215-223

The paper gives a computational method for solving Diophantine equations ax^k - by^k = K for certain a, b, and K. The method is based on an effective irrationality measure result for (a/b)^1/k and on the computation of the continued fraction expansion of (a/b)^1/k up to 20,000 partial denomiators. The computation was performed using Mathematica.

*Mathematics > Number Theory