English

Fibonacci sums modulo 5

Combinatorics 2023-11-15 v1

Abstract

We develop closed form expressions for various finite binomial Fibonacci and Lucas sums depending on the modulo 5 nature of the upper summation limit. Our expressions are inferred from some trigonometric identities.

Keywords

Cite

@article{arxiv.2311.07610,
  title  = {Fibonacci sums modulo 5},
  author = {Kunle Adegoke and Robert Frontczak and Taras Goy},
  journal= {arXiv preprint arXiv:2311.07610},
  year   = {2023}
}

Comments

18 pages

R2 v1 2026-06-28T13:19:47.053Z