Positive integer solutions of the Diophantine equation \(x^2-L_nxy+(-1)^ny^2=\pm 5^ r\)

DOI10.1007/s12044-014-0194-3zbMath1308.11035OpenAlexW2038444540MaRDI QIDQ2253689

Refik Keskin, Zafer Ṣiar

Publication date: 12 February 2015

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-014-0194-3

zbMATH Keywords

Fibonacci numbersLucas numbersdiophantine equations

Mathematics Subject Classification ID

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

Related Items (4)

Nonlinear identities and Diophantine equations involving balancing-like and Lucas-balancing-like numbers ⋮ Generalized Fibonacci numbers of the form \(wx^2 + 1\) ⋮ Positive integer solutions of certain Diophantine equations ⋮ On the exponential Diophantine equation Fnx ± Fmx = a with a ∈{Fr,Lr}

Cites Work

• Fibonacci and Lucas congruences and their applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Positive integer solutions of the Diophantine equation \(x^2-L_nxy+(-1)^ny^2=\pm 5^ r\)