DLMF:27.4.E9 (Q8020)

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DLMF:27.4.E9
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    n = 1 2 ν ( n ) n - s = ( ζ ( s ) ) 2 ζ ( 2 s ) , superscript subscript 𝑛 1 superscript 2 number-of-primes-dividing-nu 𝑛 superscript 𝑛 𝑠 superscript Riemann-zeta 𝑠 2 Riemann-zeta 2 𝑠 {\displaystyle{\displaystyle\sum_{n=1}^{\infty}2^{\nu\left(n\right)}n^{-s}=% \frac{(\zeta\left(s\right))^{2}}{\zeta\left(2s\right)},}}
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