DLMF:27.4.E3 (Q8014): Difference between revisions

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s > 1 𝑠 1 {\displaystyle{\displaystyle\Re s>1}}

\realpart@@{s}>1
Property / constraint: s > 1 𝑠 1 {\displaystyle{\displaystyle\Re s>1}} / rank
 
Normal rank

Revision as of 18:21, 30 December 2019

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DLMF:27.4.E3
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    Statements

    ζ ( s ) = n = 1 n - s = p ( 1 - p - s ) - 1 , Riemann-zeta 𝑠 superscript subscript 𝑛 1 superscript 𝑛 𝑠 subscript product 𝑝 superscript 1 superscript 𝑝 𝑠 1 {\displaystyle{\displaystyle\zeta\left(s\right)=\sum_{n=1}^{\infty}n^{-s}=% \prod_{p}(1-p^{-s})^{-1},}}
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    DLMF:27.4.E3
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    s > 1 𝑠 1 {\displaystyle{\displaystyle\Re s>1}}
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