The Generalized Fibonacci and Lucas Solutions of The Pell Equations x^2-(a^2b^2-b)y^2=N and x^2-(a^2b^2-2b)y^2=N

zbMath1358.11048arXiv1303.1838MaRDI QIDQ2950824

Hasan Senay, Bilge Peker

Publication date: 9 October 2015

Full work available at URL: https://arxiv.org/abs/1303.1838

zbMATH Keywords

quadratic Diophantine equationsinteger solutionscontinued fractionPell equationsgeneralized Fibonacci and Lucas sequences

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Continued fractions (11A55) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

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