Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



On a conjecture of Broughan

Authors: Santos Hernández Hernández and Florian Luca
Journal: Proc. Amer. Math. Soc. 136 (2008), 403-407
MSC (2000): Primary 11B36; Secondary 11J68
Published electronically: October 24, 2007
MathSciNet review: 2358477
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Abstract: In this paper, we confirm a conjecture of Broughan, concerning the closure of the set of Fibonacci numbers in the full topology over $ \mathbb{Z}$.

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Santos Hernández Hernández
Affiliation: Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Vicuña Mackenna 4860, Santiago, Chile

Florian Luca
Affiliation: Instituto de Matemáticas, Universidad Nacional Autónoma de México, C.P. 58089, Morelia, Michoacán, México

Received by editor(s): May 2, 2006
Received by editor(s) in revised form: August 15, 2006
Published electronically: October 24, 2007
Communicated by: Ken Ono
Article copyright: © Copyright 2007 American Mathematical Society