Mohand Ouamar Hernane ; Florian Luca ; Salah Rihane ; Alain Togbé - On Pillai's problem with Pell numbers and powers of 2

hrj:5102 - Hardy-Ramanujan Journal, January 23, 2019 - https://doi.org/10.46298/hrj.2019.5102
On Pillai's problem with Pell numbers and powers of 2Article

Authors: Mohand Ouamar Hernane 1; Florian Luca 2; Salah Rihane 1; Alain Togbé 1

  • 1 Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger]
  • 2 Max Planck Institute for Mathematics

In this paper, we find all integers c having at least two representations as a difference between a Pell number and a power of 2.

https://doi.org/10.46298/hrj.2019.5102
Source: HAL:hal-01984492v1
Published on: January 23, 2019
Imported on: January 23, 2019
Keywords: Pell numbers,Linear form in logarithms,reduction method 2010 Mathematics Subject Classification primary 11B39,secondary 11J86, [ MATH ] Mathematics [math], [ MATH.MATH-NT ] Mathematics [math]/Number Theory [math.NT]

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