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On factorials expressible as sums of at most three Fibonacci numbers

Part of: Diophantine equations

Published online by Cambridge University Press:  05 August 2010

Florian Luca  and
Samir Siksek
Florian Luca
Affiliation:
Instituto de Matemáticas, Universidad Nacional Autónoma de México, CP 58089, Morelia, Michoacán, México (fluca@matmor.unam.mx)
Samir Siksek
Affiliation:
Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK (s.siksek@warwick.ac.uk)
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Abstract

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In this paper, we determine all the factorials that are a sum of at most three Fibonacci numbers.

Keywords

diophantine equationFibonacci numbersfactorials

MSC classification

Secondary: 11D85: Representation problems
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 53 , Issue 3 , October 2010 , pp. 747 - 763
Copyright
Copyright © Edinburgh Mathematical Society 2010

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