Fibonacci sums and divisibility properties
Number Theory
2023-12-06 v1
Abstract
Based on a variant of Sury's polynomial identity we derive new expressions for various finite Fibonacci (Lucas) sums. We extend the results to Fibonacci and Chebyshev polynomials, and also to Horadam sequences. In addition to deriving sum relations, the main identities will be shown to be very useful in establishing and discovering divisibility properties of Fibonacci and Lucas numbers.
Cite
@article{arxiv.2312.02223,
title = {Fibonacci sums and divisibility properties},
author = {Kunle Adegoke and Robert Frontczak},
journal= {arXiv preprint arXiv:2312.02223},
year = {2023}
}
Comments
15 pages, no figures or tables