DLMF:25.2.E3 (Q7598)

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DLMF:25.2.E3
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    Defining formula
    ζ ⁡ ( s ) = 1 1 - 2 1 - s ⁢ ∑ n = 1 ∞ ( - 1 ) n - 1 n s , Riemann-zeta 𝑠 1 1 superscript 2 1 𝑠 superscript subscript 𝑛 1 superscript 1 𝑛 1 superscript 𝑛 𝑠 {\displaystyle{\displaystyle\zeta\left(s\right)=\frac{1}{1-2^{1-s}}\sum_{n=1}^% {\infty}\frac{(-1)^{n-1}}{n^{s}},}}
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    DLMF:25.2.E3
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