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On a problem of Pillai with Fibonacci numbers and powers of 2

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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.

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Acknowledgements

The authors would like to thank the referee for comments which improved the quality of this paper. They also thank J. J. Bravo for spotting a computational oversight in a previous version of this paper. The first author, MD was supported by the FWF Grant F5510 within the special research area (SFB) “Quasi Monte Carlo Methods: Theory and Applications” under the supervision of Prof. Dr. Robert F. Tichy.

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Correspondence to MAHADI DDAMULIRA.

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Communicating Editor: B Sury

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DDAMULIRA, M., LUCA, F. & RAKOTOMALALA, M. On a problem of Pillai with Fibonacci numbers and powers of 2. Proc Math Sci 127, 411–421 (2017). https://doi.org/10.1007/s12044-017-0338-3

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  • DOI: https://doi.org/10.1007/s12044-017-0338-3

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2000 Mathematics Subject Classification.

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