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    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/127/03/0411-0421

    • Keywords

       

      Fibonacci numbers; linear forms in logarithms; reduction method

    • Abstract

       

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

    • Author Affiliations

       

      MAHADI DDAMULIRA1 FLORIAN LUCA2 MIHAJA RAKOTOMALALA3

      1. Institute of Analysis and Number Theory, Graz University of Technology, A-8010 Graz, Steyrergasse 30/II, Austria
      2. School of Mathematics, University of the Witwatersrand, Private Bag X3, Wits 2050, Johannesburg, South Africa
      3. AIMS Ghana (Biriwa), P.O. Box DL 676, Adisadel, Cape Coast, Central Region, Ghana

    • Dates

       
      Published
      1 June 2017
      Manuscript received
      31 March 2015
      Manuscript revised
      15 January 2016
      Accepted
      19 January 2016
      Early published
      Unedited version published online
      Final version published online
      1 June 2017

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