Fibonacci sequences in $\mathbb F_p$
Number Theory
2025-08-12 v1
Abstract
We prove a conjecture due to Gica (Fibonacci Quarterly, 2008). Our proof is simple, uses only elementary abstract algebra, and generalizes to other recursive sequences.
Cite
@article{arxiv.2508.08016,
title = {Fibonacci sequences in $\mathbb F_p$},
author = {Menny Aka},
journal= {arXiv preprint arXiv:2508.08016},
year = {2025}
}
Comments
4 pages, to appear in Fibonacci Quaterly