4

Question. Is it already known whether the $\zeta(4)$ accelerated convergence series
$$\zeta(4)=\frac{36}{17}\sum_{1}^{\infty }
\frac{1}{n^{4}\binom{2n}{n}},\tag{1}$$
proved for instance in [1, Corollaire 5.3], could be obtained by a similar technique to those described in [2, ยง1] for $\z...