Diophantine equations involving the bi-periodic Fibonacci and Lucas sequences

DOI10.12697/ACUTM.2022.26.09zbMath1497.11069OpenAlexW4281621751MaRDI QIDQ5092981

Djilali Behloul, Akila Djoumakh, Lyes Ait-Amrane

Publication date: 26 July 2022

Published in: Acta et Commentationes Universitatis Tartuensis de Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12697/acutm.2022.26.09

zbMATH Keywords

Pell's equationDiophantine equationbi-periodic Fibonacci sequencebi-periodic Lucas sequence

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Recurrences (11B37) Counting solutions of Diophantine equations (11D45) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

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• On some Diophantine equations
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• Quadratic Diophantine equations. With a foreword by Preda Mihăilescu
• A New Generalization of Fibonacci Sequence & Extended Binet's Formula
• On some Diophantine equations involving generalized Fibonacci and Lucas numbers
• SOME PROPERTIES OF THE GENERALIZED FIBONACCI SEQUENCE {q_n} BY MATRIX METHODS
• Number Theory

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