On a family of quartic Thue inequalities. I

DOI10.1006/jnth.1997.2161zbMath0884.11021OpenAlexW2082940912MaRDI QIDQ1366669

Isao Wakabayashi

Publication date: 22 September 1997

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1997.2161

zbMATH Keywords

hypergeometric polynomialsThue inequalitiesfamily of Thue equations

Mathematics Subject Classification ID

Diophantine inequalities (11D75) Cubic and quartic Diophantine equations (11D25)

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On two-parametric family of quartic Thue equations ⋮ Unnamed Item ⋮ On a family of quartic Thue inequalities. II. ⋮ Diagonalizable quartic Thue equations with negative discriminant ⋮ Thue's inequalities and the hypergeometric method ⋮ On a family of relative quartic Thue inequalities ⋮ On the practical solution of genus zero Diophantine equations ⋮ On Thue equations of splitting type over function fields ⋮ On a parametric family of Thue inequalities over function fields ⋮ On Kodaira dimension of graphs ⋮ The Diophantine equation aX 4 – bY 2 = 1 ⋮ On families of parametrized Thue equations ⋮ A system of Pellian equations and related two-parametric family of quartic Thue equations ⋮ A classification of (some) Pisot-cyclotomic numbers ⋮ Cubic Thue inequalities with negative discriminant.

Cites Work

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• Simple families of Thue inequalities
• Simultaneous rational approximations and related diophantine equations
• Complete solutions of a family of quartic Thue and index form equations
• On the family of Thue equations x³ - (n-1)x²y - (n+2)xy² - y³ = k