Formula:8707

Digital Library of Mathematical Functions ID 27.4.E3

${\displaystyle{\displaystyle\zeta\left(s\right)=\sum_{n=1}^{\infty}n^{-s}=\prod_{p}(1-p^{-s})^{-1},}}$

Constraint(s)

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

Symbols List

• ${\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}$: Riemann zeta function
• ${\displaystyle{\displaystyle\Re}}$: real part
• ${\displaystyle{\displaystyle n}}$: positive integer
• ${\displaystyle{\displaystyle p,p_{1},\ldots}}$: prime numbers
 

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