Discrete Mathematics & Theoretical Computer Science, Vol 10, No 3 (2008)

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Simultaneous generation for zeta values by the Markov-WZ method

Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood


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 Ap\'ery-like formulae for odd zeta values. As a consequence, we get a new identity producing Ap\'ery-like series for all $\zeta(2n+4m+3), n, m\ge 0,$ convergent at the geometric rate with ratio $2^{-10}.$

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