1998/04/24 by Tewodros Amdeberhan, Doron Zeilberger · 1 citation
Mathematics · #math.CO #math.NT #msc:05
published as Elec. J. Combin., 4 (2) (1997),[Wilf Festschrifft Volume] · 4 pages. See also http://www.math.temple.edu/~zeilberg/mamarim/mamarimhtml/accel.html
arxiv created 1998/04/24 · arxiv updated 2009/11/30
Based on the WZ method, some series acceleration formulas are given. These formulas allow to write down an infinite family of parametrized identities from any given identity of WZ type. Further, this family, in the case of the Riemann Zeta function, gives rise to many accelerated expressions for ζ(3). The present method produced a formula, given at the end of the paper, that was used recently Sebastian Wedeniwski to compute Apery's constant to more than 32 million digits, holding the present record!