scientific article; zbMATH DE number 7541060

MaRDI QIDQ5866259

Ilker Akkus, Nese Omur, Emrah Kılıç

Publication date: 13 June 2022

Full work available at URL: http://ijmsi.ir/article-1-1319-en.html

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

linear recurrencescontinued fractionDiophantine equationsgeneralized Fibonacci and Lucas sequences

Mathematics Subject Classification ID

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

Cites Work

• Factorizations and representations of second order linear recurrences with indices in arithmetic progressions
• On the Diophantine equation \(x^2-kxy+y^2+lx=0,\;l\in\{1,2,4\}\)
• Quadratic Diophantine equations. With a foreword by Preda Mihăilescu
• Infinitely many positive solutions of the Diophantine equation \(x^{2} - kxy + y^{2} + x = 0\)
• Diophantine triples and reduced quadruples with the Lucas sequence of recurrence un=Aun-1-un-2
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