On the resolution of Thue inequalities

DOI10.1016/S0747-7171(87)80059-7zbMath0625.10011MaRDI QIDQ579295

Attila Pethoe

Publication date: 1987

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

zbMATH Keywords

continued fraction expansionsThue equationspractical method

Mathematics Subject Classification ID

Thue-Mahler equations (11D59) Computer solution of Diophantine equations (11Y50) Diophantine inequalities (11D75)

Related Items (11)

Thue equations and CM-fields ⋮ Computing Elliptic Curves over $$\mathbb{Q}$$ : Bad Reduction at One Prime ⋮ Complete solutions to a family of cubic Diophantine equations ⋮ On correspondence between solutions of a family of cubic Thue equations and isomorphism classes of the simplest cubic fields ⋮ Computing elliptic curves over $\mathbb {Q}$ ⋮ On the resolution of relative Thue equations ⋮ Calculating ``small solutions of inhomogeneous relative Thue inequalities ⋮ On the resolution of index form equations in biquadratic number fields. I ⋮ Simple families of Thue inequalities ⋮ Calculating “Small” Solutions of Relative Thue Equations ⋮ Cubic Thue inequalities with negative discriminant.

Cites Work

• The diophantine equation \(y^2+k=x^3\).
• Products of Prime Powers in Binary Recurrence Sequences Part II: The Elliptic Case, with an Application to a Mixed Quadratic-Exponential Equation
• Contributions to the theory of diophantine equations I. On the representation of integers by binary forms
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