@article{Luca_Togbé_2018, title={On the $x$-coordinates of Pell equations which are Fibonacci numbers}, volume={122}, url={https://www.mscand.dk/article/view/97271}, DOI={10.7146/math.scand.a-97271}, abstractNote={<p>For an integer $d&gt;2$ which is not a square, we show that there is at most one value of the positive integer $x$ participating in the Pell equation $x^2-dy^2=\pm 1$ which is a Fibonacci number.</p>}, number={1}, journal={MATHEMATICA SCANDINAVICA}, author={Luca, Florian and Togbé, Alain}, year={2018}, month={Feb.}, pages={18–30} }