Khodabakhsh Hessami Pilehrood ; Tatiana Hessami Pilehrood - Simultaneous generation for zeta values by the Markov-WZ method

dmtcs:424 - Discrete Mathematics & Theoretical Computer Science, January 1, 2008, Vol. 10 no. 3 -
Simultaneous generation for zeta values by the Markov-WZ methodArticle

Authors: Khodabakhsh Hessami Pilehrood 1; Tatiana Hessami Pilehrood 1

  • 1 Department of Pure Mathematics [Shahrekord]

By application of the Markov-WZ method, we prove a more general form of a bivariate generating function identity containing, as particular cases, Koecher's and Almkvist-Granville's Apéry-like formulae for odd zeta values. As a consequence, we get a new identity producing Apéry-like series for all ζ(2n+4m+3),n,m ≥ 0, convergent at the geometric rate with ratio 2−10.

Volume: Vol. 10 no. 3
Section: Combinatorics
Published on: January 1, 2008
Imported on: March 26, 2015
Keywords: [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]

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