We document the discovery of two generating functions for $\zeta(2n+2)$, analogous to earlier work for $\zeta(2n+1)$ and $\zeta(4n+3)$, initiated by Koecher and pursued further by Borwein, Bradley, and others.
Publié le : 2006-05-14
Classification:
Riemann zeta function,
central binomial coefficients,
series acceleration,
hypergeometric series,
11Y60,
11M06
@article{1175789759,
author = {Bailey, David H. and Borwein, Jonathan M. and Bradley, David M.},
title = {Experimental Determination of Ap\'ery-like Identities for $\zeta(2n+2)$},
journal = {Experiment. Math.},
volume = {15},
number = {1},
year = {2006},
pages = { 281-290},
language = {en},
url = {http://dml.mathdoc.fr/item/1175789759}
}
Bailey, David H.; Borwein, Jonathan M.; Bradley, David M. Experimental Determination of Apéry-like Identities for $\zeta(2n+2)$. Experiment. Math., Tome 15 (2006) no. 1, pp. 281-290. http://gdmltest.u-ga.fr/item/1175789759/