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
• Texto completo no disponible (Saber más ...)
• 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.