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

DOI10.2989/16073606.2021.1983662OpenAlexW3212712161MaRDI QIDQ5880781

Ingrid Vukusic

Publication date: 6 March 2023

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.03097

zbMATH Keywords

Thue equationsrecurrence sequencesThomas' conjecture

Mathematics Subject Classification ID

Thue-Mahler equations (11D59) Recurrences (11B37) Cubic and quartic Diophantine equations (11D25)

Uses Software

• PARI/GP
• SageMath

Cites Work

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• Complete solutions to a family of cubic Diophantine equations
• Solutions to certain families of Thue equations
• An explicit formula for the units of an algebraic number field of degree \(n\geq2\)
• Thomas' conjecture over function fields
• On a conjecture of E. Thomas concerning parametrized Thue equations
• Rational approximation to algebraic numbers of small height: the Diophantine equation |axn - byn|= 1
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• Bounds for the solutions of Thue-Mahler equations and norm form equations
• On a family of cubic Thue Equations involving Fibonacci and Lucas numbers
• Einheiten für eine allgemeine Klasse total reeller algebraischer Zahlkörper.

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