Experimental determination of Apery-like identities for zeta(2n+2)
Number Theory
2007-06-13 v2 Classical Analysis and ODEs
Abstract
We document the discovery of two generating functions for the Riemann zeta values zeta(2n+2), analogous to earlier work for zeta(2n+1) and zeta(4n+3). This continues work initiated by Koecher and pursued further by Borwein, Bradley and others.
Cite
@article{arxiv.math/0505270,
title = {Experimental determination of Apery-like identities for zeta(2n+2)},
author = {David H. Bailey and Jonathan M. Borwein and David M. Bradley},
journal= {arXiv preprint arXiv:math/0505270},
year = {2007}
}
Comments
15 pages, AMSLaTeX, Proof of Theorem 1 improved