TY - JOUR
AU - Luca, Florian
AU - TogbĂ©, Alain
PY - 2018/02/20
Y2 - 2021/10/19
TI - On the $x$-coordinates of Pell equations which are Fibonacci numbers
JF - MATHEMATICA SCANDINAVICA
JA - Math. Scand.
VL - 122
IS - 1
SE - Articles
DO - 10.7146/math.scand.a-97271
UR - https://www.mscand.dk/article/view/97271
SP - 18-30
AB - <p>For an integer $d>2$ 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>
ER -