Squares in Lucas sequences and some diophantine equations

DOI10.1007/S002290050061zbMath0911.11012OpenAlexW2009473722MaRDI QIDQ1392980

Nobuhiro Terai, Takaaki Kagawa

Publication date: 5 May 1999

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002290050061

zbMATH Keywords

Lucas sequencesquartic diophantine equationssquare terms

Mathematics Subject Classification ID

Cubic and quartic Diophantine equations (11D25) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (3)

THE SQUARE TERMS IN GENERALIZED LUCAS SEQUENCES ⋮ The terms of the form $7kx^{2}$ in the generalized Lucas sequence with parameters $P$ and $Q$ ⋮ Generalized Fibonacci and Lucas numbers of the form 5x²

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