On the family of Thue equation|x 3+mx2y−(m+3)xy2+y3|=k

DOI10.1007/BF02836648zbMath1105.11007OpenAlexW2011390783MaRDI QIDQ5492498

Silan Zhang, Jingbo Xia, Jian-Hua Chen

Publication date: 13 October 2006

Published in: Wuhan University Journal of Natural Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02836648

zbMATH Keywords

Continued fraction expansionParametric Thue equations

Mathematics Subject Classification ID

Thue-Mahler equations (11D59) Continued fractions (11A55) Diophantine inequalities (11D75) Cubic and quartic Diophantine equations (11D25)

Related Items (2)

Simplifying method for algebraic approximation of certain algebraic numbers ⋮ On correspondence between solutions of a family of cubic Thue equations and isomorphism classes of the simplest cubic fields

Cites Work

• Unnamed Item
• Verification of a conjecture of E. Thomas
• Complete solutions to a family of cubic Diophantine equations
• A parametric family of cubic Thue equations
• Thomas' family of Thue equations over imaginary quadratic fields
• Cubic Thue inequalities with negative discriminant.
• Simplest cubic fields

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