A New Representation of the Riemann Zeta Function $\zeta(s)$
Number Theory
2025-10-20 v1 Numerical Analysis
Mathematical Physics
Classical Analysis and ODEs
Combinatorics
Complex Variables
math.MP
Numerical Analysis
Abstract
A generalization of a well-known relation between the Riemann zeta function and Bernoulli numbers is obtained. The formula is a new representation of the Riemann zeta function in terms of a nested series of Bernoulli numbers.
Cite
@article{arxiv.math/9812143,
title = {A New Representation of the Riemann Zeta Function $\zeta(s)$},
author = {S. C. Woon},
journal= {arXiv preprint arXiv:math/9812143},
year = {2025}
}
Comments
12 pages, 2 figures, LaTeX2e, \usepackage[dvips]