descriptionPublicationkeyboard_double_arrow_right Article , Preprint 05 Dec 2016Embargo end date: 01 Jan 2016 English Publisher:World Scientific Pub Co Pte LtJournal:International Journal of Number Theory, volume 13, pages 1,617-1,625 (issn: 1793-0421, eissn: 1793-7310,

Authors: Tianxin Cai; Hao Zhong;

doi: 10.1142/s1793042117500920 , 10.48550/arxiv.1603.07863

arXiv: http://arxiv.org/abs/1603.07863

On the Lucas property of linear recurrent sequences

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Abstract

Let [Formula: see text] be an arithmetic function. [Formula: see text] has Lucas property if for any prime [Formula: see text] and [Formula: see text], where [Formula: see text], [Formula: see text] In this paper, we discuss the Lucas property of Fibonacci sequences and Lucas numbers. Meanwhile, we find some other interesting results.

Related Organizations

Zhejiang Ocean University
China (People's Republic of)

Keywords

11B50, 11B39, Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT)

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