Number of solutions for cubic Thue equations with automorphisms

DOI10.1007/s11139-006-9001-9zbMath1133.11024OpenAlexW2127898806MaRDI QIDQ2642509

Isao Wakabayashi

Publication date: 17 August 2007

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-006-9001-9

zbMATH Keywords

Padé approximationAutomorphism of formsCubic Thue equationSimplest cubic form

Mathematics Subject Classification ID

Thue-Mahler equations (11D59) Cubic and quartic Diophantine equations (11D25)

Related Items (6)

NUMBER OF SOLUTIONS FOR QUARTIC SIMPLE THUE EQUATIONS ⋮ Complete solutions to a family of Thue equations of degree 12 ⋮ Klein forms and the generalized superelliptic equation ⋮ On correspondence between solutions of a family of cubic Thue equations and isomorphism classes of the simplest cubic fields ⋮ On the simplest sextic fields and related Thue equations ⋮ On cubic Thue equations and the indices of algebraic integers in cubic fields

Cites Work

• Verification of a conjecture of E. Thomas
• Complete solutions to a family of cubic Diophantine equations
• On the method of Thue-Siegel
• Regulatorabschätzungen für total reelle algebraische Zahlkörper
• Cubic Thue inequalities with negative discriminant.
• On the representation of unity by binary cubic forms
• Simple families of Thue inequalities
• Simultaneous rational approximations and related diophantine equations
• On the family of Thue equations x³ - (n-1)x²y - (n+2)xy² - y³ = k
• Einige Bemerkungen über die Darstellung ganzer Zahlen durch binäre kubische Formen mit positiver Diskriminante
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