There are no Diophantine quadruples of Pell numbers

DOI10.1142/S179304212250004XzbMath1483.11058OpenAlexW3178900747WikidataQ114071929 ScholiaQ114071929MaRDI QIDQ5025436

Florian Luca, Salah Eddine Rihane, Alain S. Togbé

Publication date: 2 February 2022

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s179304212250004x

zbMATH Keywords

Pell numberslinear form in logarithmsDiophantine tuplessystem of Pell equations

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Recurrences (11B37) Counting solutions of Diophantine equations (11D45) Linear forms in logarithms; Baker's method (11J86)

Cites Work

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• There is no Diophantine quintuple
• There are no Diophantine quadruples of Fibonacci numbers
• Pell and Pell–Lucas Numbers with Applications
• On Diophantine triples of Pell numbers

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