Three term recurrence and residue completeness
Number Theory
2013-07-30 v1
Abstract
We study the three term recurrence modulo m. In particular, we prove that Pell numbers modulo m is residue complete if and only m is 2, a power of 3, or a power of 5. Pell-Lucas numbers modulo m is residue complete if and only if m is a power of 3.
Cite
@article{arxiv.1307.7463,
title = {Three term recurrence and residue completeness},
author = {Cheng Lien Lang and Mong Lung Lang},
journal= {arXiv preprint arXiv:1307.7463},
year = {2013}
}