Positive integer solutions of some Diophantine equations in terms of integer sequences

DOI10.1007/s13370-018-0632-yzbMath1438.11038OpenAlexW2894446991MaRDI QIDQ2315551

Refik Keskin, Zafer Ṣiar

Publication date: 25 July 2019

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-018-0632-y

zbMATH Keywords

Pell equationDiophantine equationgeneralized Fibonacci and Lucas numbersbalancing and cobalancing numbers

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Special sequences and polynomials (11B83) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (3)

On the exponential Diophantine equation \((a^n-2)(b^n-2)=x^2\) ⋮ Diophantine equations with balancing-like sequences associated to Brocard-Ramanujan-type problem ⋮ A note on the exponential Diophantine equation \((a^n-1)(b^n-1)=X^2\)

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• Solutions of some quadratic Diophantine equations
• Cobalancing numbers and cobalancers
• Generalized Fibonacci and Lucas Sequences and Rootfinding Methods
• The Fibonacci Numbers: Exposed
• My Numbers, My Friends
• On the Diophantine Equation mX 2 - nY 2 = ± 1
• Triangular Square Numbers

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