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.
Kh. Hessami Pilehrood;T. Hessami Pilehrood, 2012, Bivariate Identities for Values of the Hurwitz Zeta Function and Supercongruences, The Electronic Journal of Combinatorics, 18, 2, 10.37236/2049, https://doi.org/10.37236/2049.