Solving Thue equations without the full unit group

DOI10.1090/S0025-5718-99-01124-2zbMath0937.11063OpenAlexW2039796389MaRDI QIDQ4700204

Guillaume Hanrot

Publication date: 1 November 1999

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-99-01124-2

zbMATH Keywords

Thue equationLucas sequencesLehmer sequenceslinear recurrence sequences

Mathematics Subject Classification ID

Thue-Mahler equations (11D59) Computer solution of Diophantine equations (11Y50) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (8)

On the Diophantine equation \(x^ 2+a^ 2=2y^ p\). ⋮ Thue equations and CM-fields ⋮ Computing integral points on \(X_{\mathrm{ns}}^+(p)\) ⋮ On the power values of power sums ⋮ ON PERFECT POWERS IN LUCAS SEQUENCES ⋮ Class field theory, Diophantine analysis and the asymptotic Fermat's last theorem ⋮ Almost powers in the Lucas sequence ⋮ ON THE DIOPHANTINE EQUATION x² + C = 2yⁿ

Cites Work

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• On the diophantine equations x² + 74 = y⁵ and x² + 86 = y⁵

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