Calculating ``small solutions of inhomogeneous relative Thue inequalities

DOI10.7169/facm/1876zbMath1491.11111arXiv2102.09942OpenAlexW3207059591MaRDI QIDQ2075017

István Gaál

Publication date: 11 February 2022

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.09942

zbMATH Keywords

Thue equationsLLL reductionresultant equationsinhomogeneous Thue equationsinhomogeneous Thue inequalitiesrelative Thue equationsrelative Thue inequalities

Mathematics Subject Classification ID

Thue-Mahler equations (11D59) Computer solution of Diophantine equations (11Y50) Diophantine inequalities (11D75) Higher degree equations; Fermat's equation (11D41) Multiplicative and norm form equations (11D57)

Uses Software

• Maple

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the resolution of Thue inequalities
• Factoring polynomials with rational coefficients
• Representation of numbers by the norm forms with two dominating variables
• On the resolution of \(F(x,y)=G(x,y)\)
• A fast algorithm for finding ``small solutions of \(F(x,y)= G(x,y)\) over imaginary quadratic fields
• On the resolution of resultant type equations
• A fast algorithm for finding small solutions of \(F(x,y)=G(x,y)\) over number fields
• On the resolution of relative Thue equations
• Solving resultant form equations over number fields
• A table of totally real quintic number fields
• On the Resolution of Inhomogeneous Norm Form Equations in Two Dominating Variables
• Computing all power integral bases in orders of totally real cyclic sextic number fields
• Diophantine Equations and Power Integral Bases
• Totally real Thue inequalities over imaginary quadratic fields
• Calculating “Small” Solutions of Relative Thue Equations
• Enumeration of Totally Real Number Fields of Bounded Root Discriminant
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
• Computing power integral bases in quartic relative extensions

This page was built for publication: Calculating ``small solutions of inhomogeneous relative Thue inequalities