On the $x$-coordinates of Pell equations which are Fibonacci numbers II
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Publication:5348058
DOI10.4064/cm6960-8-2016zbMath1420.11037OpenAlexW2619854503MaRDI QIDQ5348058
Florian Luca, Bir Kafle, Alain S. Togbé
Publication date: 11 August 2017
Published in: Colloquium Mathematicum (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/cm6960-8-2016
Quadratic and bilinear Diophantine equations (11D09) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)
Related Items (8)
On the X-coordinates of Pell equations X2 − dY2 = ±1 as difference of two Fibonacci numbers ⋮ The \(x\)-coordinates of Pell equations and sums of two Fibonacci numbers. II. ⋮ Unnamed Item ⋮ The X -coordinates of Pell equations and Padovan numbers ⋮ \(X\)-coordinates of Pell equations which are Lucas numbers ⋮ On the \(x\)-coordinates of Pell equations that are sums of two Padovan numbers ⋮ Linear combinations of prime powers in \(X\)-coordinates of Pell equations ⋮ On the $x-$coordinates of Pell equations which are sums of two Padovan numbers
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