On  thex-coordinates  of  pell  equationswhich are  fibonacci  numbers

Florian Luca ^[1] ; Alain Togbé ^[2]
1. [1] University of the Witwatersrand
  
  University of the Witwatersrand
  
  City of Johannesburg, Sudáfrica
2. [2] University of Northwest (USA)
Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 122, Nº 1, 2018, págs. 18-30
Idioma: inglés
DOI: 10.7146/math.scand.a-97271
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Resumen
- For an integerd>2 which is not a square, we show that there is at most one value of the positiveintegerxparticipating in the Pell equationx2−dy2=±1 which is a Fibonacci number.