English

Fibonacci-Zeta infinite series associated with the polygamma functions

Number Theory 2021-03-18 v1

Abstract

We derive new infinite series involving Fibonacci numbers and Riemann zeta numbers. The calculations are facilitated by evaluating linear combinations of polygamma functions of the same order at certain arguments.

Keywords

Cite

@article{arxiv.2103.09799,
  title  = {Fibonacci-Zeta infinite series associated with the polygamma functions},
  author = {Kunle Adegoke and Sourangshu Ghosh},
  journal= {arXiv preprint arXiv:2103.09799},
  year   = {2021}
}

Comments

10 Pages, 10 References

R2 v1 2026-06-24T00:17:04.139Z