English

New Formulas for the Riemann Zeta Function

Number Theory 2022-07-15 v1

Abstract

A new method for continuing the usual Dirichlet series that defines the Riemann zeta function ζ(s){\zeta}(s) is presented. Numerical experiments demonstrating the computational efficacy of the resulting continuation are discussed.

Keywords

Cite

@article{arxiv.2207.06552,
  title  = {New Formulas for the Riemann Zeta Function},
  author = {Aditya Akula and Ghaith Hiary},
  journal= {arXiv preprint arXiv:2207.06552},
  year   = {2022}
}

Comments

13 pages, 2 figures

R2 v1 2026-06-25T00:53:53.161Z