%0 Journal Article %T Simultaneous generation for zeta values by the Markov-WZ method %A Khodabakhsh Hessami Pilehrood %A Tatiana Hessami Pilehrood %J Discrete Mathematics & Theoretical Computer Science %D 2008 %I Discrete Mathematics & Theoretical Computer Science %X 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 $zeta(2n+4m+3), n, mge 0,$ convergent at the geometric rate with ratio $2^{-10}.$ %U http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/756