A New Representation of the Riemann Zeta Function $ζ(s)$

Details A New Representation of the Riemann Zeta Function $ζ(s)$ A New Representation of the Riemann Zeta Function $ζ(s)$

1998-12-24

arxiv.org/abs/math/9812143v1

Mathematics

Number Theory

12 pages, 2 figures, LaTeX2e, \usepackage[dvips]

Scientific paper

A generalization of a well-known relation between the Riemann zeta function
$\zeta(s)$ and Bernoulli numbers $B_n$ is obtained. The formula is a new
representation of the Riemann zeta function in terms of a nested series of
Bernoulli numbers.

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