On the resolution of resultant type equations

DOI10.1006/jsco.2002.0546zbMath1015.11010OpenAlexW2039452340MaRDI QIDQ1864881

István Gaál

Publication date: 23 March 2003

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

Full work available at URL: https://doi.org/10.1006/jsco.2002.0546

zbMATH Keywords

inhomogeneous Thue equationresultant equation

Mathematics Subject Classification ID

Thue-Mahler equations (11D59) Computer solution of Diophantine equations (11Y50) Multiplicative and norm form equations (11D57)

Related Items (4)

On the equation Resx(P(x),x2 + sx + t) = a ⋮ Solving resultant form equations over number fields ⋮ Calculating ``small solutions of inhomogeneous relative Thue inequalities ⋮ Diophantine equations over global function fields. III: An application to resultant form equations

Uses Software

• KANT/KASH

Cites Work

• Solving Thue equations of high degree
• Representation of numbers by the norm forms with two dominating variables
• KANT V4
• On the number of solutions of decomposable polynomial equations
• Logarithmic forms and group varieties.
• On the Resolution of Inhomogeneous Norm Form Equations in Two Dominating Variables
• On the irreducibility of neighbouring polynomials
• Some applications of decomposable form equations to resultant equations
• Computing all power integral bases in orders of totally real cyclic sextic number fields
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
• Computing power integral bases in quartic relative extensions
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