Fibonacci system and residue completeness
Number Theory
2013-07-12 v3
Abstract
We give necessary and sufficient conditions for a Fibonacci cycle to be residue complete (nondefective). In particular, the Lucas numbers modulo m is residue complete if and only if m = 2,4,6,7,14 or a power of 3.
Cite
@article{arxiv.1304.2892,
title = {Fibonacci system and residue completeness},
author = {Cheng Lien Lang and Mong Lung Lang},
journal= {arXiv preprint arXiv:1304.2892},
year = {2013}
}
Comments
We revise the article and give a direct proof of the main results