DLMF:25.8.E6 (Q7663)

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DLMF:25.8.E6
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    test
    ∑ k = 0 ∞ ζ ⁡ ( 2 ⁢ k ) ⁢ z 2 ⁢ k = - 1 2 ⁢ π ⁢ z ⁢ cot ⁡ ( π ⁢ z ) , superscript subscript 𝑘 0 Riemann-zeta 2 𝑘 superscript 𝑧 2 𝑘 1 2 𝜋 𝑧 𝜋 𝑧 {\displaystyle{\displaystyle\sum_{k=0}^{\infty}\zeta\left(2k\right)z^{2k}=-% \tfrac{1}{2}\pi z\cot\left(\pi z\right),}}
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    DLMF:25.8.E6
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