On \(Y\)-coordinates of Pell equations which are Lucas numbers

DOI10.1007/s11139-022-00613-0zbMath1506.11043OpenAlexW4288968109MaRDI QIDQ2097512

Florian Luca, Bilizimbéyé Edjeou, Bernadette Faye, Carlos Alexis Gómez Ruiz

Publication date: 14 November 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-022-00613-0

zbMATH Keywords

Pell equationLucas sequenceDiophantine equations

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (1)

On \(Y\)-coordinates of Pell equations which are Fibonacci numbers

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• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²

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