DLMF:27.4.E6 (Q8017)

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DLMF:27.4.E6
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    Statements

    Defining formula
    ∑ n = 1 ∞ ϕ ⁡ ( n ) ⁢ n - s = ζ ⁡ ( s - 1 ) ζ ⁡ ( s ) , superscript subscript 𝑛 1 Euler-totient-phi 𝑛 superscript 𝑛 𝑠 Riemann-zeta 𝑠 1 Riemann-zeta 𝑠 {\displaystyle{\displaystyle\sum_{n=1}^{\infty}\phi\left(n\right)n^{-s}=\frac{% \zeta\left(s-1\right)}{\zeta\left(s\right)},}}
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    DLMF id
    DLMF:27.4.E6
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    constraint
    ℜ ⁡ s > 2 𝑠 2 {\displaystyle{\displaystyle\Re s>2}}
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