DLMF:25.6.E9 (Q7646)

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DLMF:25.6.E9
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    ζ ( 3 ) = 5 2 k = 1 ( - 1 ) k - 1 k 3 ( 2 k k ) . Riemann-zeta 3 5 2 superscript subscript 𝑘 1 superscript 1 𝑘 1 superscript 𝑘 3 binomial 2 𝑘 𝑘 {\displaystyle{\displaystyle\zeta\left(3\right)=\frac{5}{2}\sum_{k=1}^{\infty}% \frac{(-1)^{k-1}}{k^{3}\genfrac{(}{)}{0.0pt}{}{2k}{k}}.}}
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