On a family of cubic Thue Equations involving Fibonacci and Lucas numbers

zbMath1501.11049arXiv2106.03509MaRDI QIDQ5088724

Volker Ziegler, Tobias Hilgart, Ingrid Vukusic

Publication date: 13 July 2022

Full work available at URL: https://arxiv.org/abs/2106.03509

zbMATH Keywords

Fibonacci numbersLLL-reductionparametric Thue equationLucas numbers Baker's method

Mathematics Subject Classification ID

Thue-Mahler equations (11D59) Cubic and quartic Diophantine equations (11D25) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (1)

On a cubic family of Thue equations involving Fibonacci numbers and powers of two

Cites Work

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• Analytic formulas for the regulator of a number field
• Complete solutions to a family of cubic Diophantine equations
• Choosing roots of polynomials smoothly
• On families of parametrized Thue equations
• Solutions to certain families of Thue equations
• Thomas' conjecture over function fields
• On a conjecture of E. Thomas concerning parametrized Thue equations
• Logarithmic forms and group varieties.
• Bounds for the solutions of Thue-Mahler equations and norm form equations
• Contributions to the theory of diophantine equations I. On the representation of integers by binary forms

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