Hypergeometric Series Acceleration Via the WZ method
Combinatorics
2007-05-23 v1 Number Theory
Abstract
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 . 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!
Keywords
Cite
@article{arxiv.math/9804121,
title = {Hypergeometric Series Acceleration Via the WZ method},
author = {Tewodros Amdeberhan and Doron Zeilberger},
journal= {arXiv preprint arXiv:math/9804121},
year = {2007}
}
Comments
4 pages. See also http://www.math.temple.edu/~zeilberg/mamarim/mamarimhtml/accel.html