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With this paper we introduce a new series representation of $\zeta(3)$, whichis based on the Clausen representation of odd integer zeta values. Although,relatively fast converging series based on the Clausen representation exist for$\zeta(3)$, their convergence behavior is very slow compared to BBP-typeformulas, and as a consequence they are not used for explicit numericalcomputations. The reason is found in the fact that the corresponding Clausenfunction can be calculated analytically for a few rational arguments only,where $x=\frac{1}{6}$ is the smallest one. Using polylogarithmic identities incombination with a polynomial description of the even Bernoulli numbers, theconvergence behavior of the Clausen-type representation has been improved to alevel that allows us to challenge ultimately all BBP-type formulas availablefor $\zeta(3)$. We present an explicit numerical comparison between one of thebest available BBP formulas and our formalism. Furthermore, we demonstrate byan explicit computation using the first four terms in our series representationonly that $\zeta(3)$ results with an accuracy of $2*10^{-26}$, where ourcomputation guarantees on each approximation level for an analytical expressionfor $\zeta(3)$.

New series representations for zeta numbers using polylogarithmic identities in combination with a polynomial description of Bernoulli numbers