Estimating the Apéry's constant
Apéry's constant is \(\zeta(3)=\sum k^{-3}\). The author uses a new series representation \(\zeta(3)=1+\sum (k^3+4k^7)^{-1}\) whose partial sums converge much more rapidly to \(\zeta(3)\) than those of \(\sum k^{-3}\).
scientific article; zbMATH DE number 6088919