DLMF:25.11.E24 (Q7698)

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DLMF:25.11.E24
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    test
    ∑ r = 1 k - 1 ζ ′ ⁡ ( s , r k ) = ( k s - 1 ) ⁢ ζ ′ ⁡ ( s ) + k s ⁢ ζ ⁡ ( s ) ⁢ ln ⁡ k , superscript subscript 𝑟 1 𝑘 1 diffop Hurwitz-zeta 1 𝑠 𝑟 𝑘 superscript 𝑘 𝑠 1 diffop Riemann-zeta 1 𝑠 superscript 𝑘 𝑠 Riemann-zeta 𝑠 𝑘 {\displaystyle{\displaystyle\sum_{r=1}^{k-1}\zeta'\left(s,\frac{r}{k}\right)=(% k^{s}-1)\zeta'\left(s\right)+k^{s}\zeta\left(s\right)\ln k,}}
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    DLMF id
    DLMF:25.11.E24
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