A Thue Equation with Quadratic Integers as Variables

DOI10.2307/2153455zbMath0835.11012OpenAlexW2100899946MaRDI QIDQ4846024

Benjamin M. M. de Weger

Publication date: 7 September 1995

Full work available at URL: https://doi.org/10.2307/2153455

zbMATH Keywords

explicit solutionlogarithms of algebraic numbersThue equationLLL- lattice basis reduction algorithm

Mathematics Subject Classification ID

Cubic and quartic Diophantine equations (11D25) Higher degree equations; Fermat's equation (11D41)

Related Items (3)

Solving norm form equations via lattice basis reduction ⋮ Computing all power integral bases in orders of totally real cyclic sextic number fields ⋮ On the resolution of relative Thue equations

Cites Work

• On the practical solution of the Thue equation
• Logarithmic forms and group varieties.
• A hyperelliptic diophantine equation related to imaginary quadratic number fields with class number 2.
• Unnamed Item

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