Pilehrood, Khodabakhsh Hessami and Pilehrood, Tatiana Hessami - 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 method

Authors: Pilehrood, Khodabakhsh Hessami and Pilehrood, Tatiana Hessami

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.


Source : oai:HAL:hal-00972329v1
Volume: Vol. 10 no. 3
Section: Combinatorics
Published on: January 1, 2008
Submitted on: March 26, 2015
Keywords: [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]


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