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.
Publié le : 1998-12-24
Classification:
Mathematics - Number Theory,
Mathematical Physics,
Mathematics - Classical Analysis and ODEs,
Mathematics - Combinatorics,
Mathematics - Complex Variables,
Mathematics - Numerical Analysis,
11M06,
11B68
@article{9812143,
author = {Woon, S. C.},
title = {A New Representation of the Riemann Zeta Function $\zeta(s)$},
journal = {arXiv},
volume = {1998},
number = {0},
year = {1998},
language = {en},
url = {http://dml.mathdoc.fr/item/9812143}
}
Woon, S. C. A New Representation of the Riemann Zeta Function $\zeta(s)$. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9812143/