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

Fibonacci numbers; linear forms in logarithms; reduction method

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.

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

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