On a family of Thue equations of degree 16

DOI10.1090/S0025-5718-10-02354-9zbMath1223.11038MaRDI QIDQ3160748

Volker Ziegler

Publication date: 8 October 2010

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

zbMATH Keywords

simultaneous Pell equationsLLL basis reduction algorithmlinear forms in three logarithmsparametric Thue equation16th degree number fieldBaker and Davenport Lemma

Mathematics Subject Classification ID

Thue-Mahler equations (11D59) Computer solution of Diophantine equations (11Y50)

Cites Work

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• Complete solutions to a family of cubic Diophantine equations
• On the practical solution of the Thue equation
• Solving Thue equations of high degree
• On a family of quintic Thue equations
• Linear forms in two logarithms and interpolation determinants
• Reell-quadratische Zahlkörper mit großer Grundeinheit. (Real- quadratic fields with large fundamental unit)
• Automatic solution of families of Thue equations and an example of degree 8
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• Explicit solution of a class of quartic Thue equations
• Classical and modular approaches to exponential Diophantine equations II. The Lebesgue–Nagell equation
• Complete Solutions to Families of Quartic Thue Equations
• Thue equations with composite fields
• Binomial Thue equations and polynomial powers
• Contributions to the theory of diophantine equations I. On the representation of integers by binary forms
• Linear forms in the logarithms of algebraic numbers
• Linear forms in the logarithms of algebraic numbers (IV)
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²

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