Experimental determination of Apery-like identities for zeta(2n+2)

Details Experimental determination of Apery-like identities for zeta(2n+2) Experimental determination of Apery-like identities for zeta(2n+2)

2005-05-12

arxiv.org/abs/math/0505270v2

Experimental Mathematics, Vol. 15, issue 3 (2006), pp. 281--289. MR2264467 (2007f:11144)

Mathematics

Number Theory

15 pages, AMSLaTeX, Proof of Theorem 1 improved

Scientific paper

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.

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