English

Fibonacci-harmonic sums

General Mathematics 2025-07-29 v1

Abstract

We offer several new summation identities involving harmonic numbers, odd harmonic numbers, and Fibonacci numbers. Our results are derived using three different approaches: partial summation, polynomial identities and binomial transformation.

Keywords

Cite

@article{arxiv.2507.19503,
  title  = {Fibonacci-harmonic sums},
  author = {Kunle Adegoke and Segun Olofin Akerele and Robert Frontczak},
  journal= {arXiv preprint arXiv:2507.19503},
  year   = {2025}
}

Comments

24 pages

R2 v1 2026-07-01T04:19:18.525Z