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The Riemann zeta function, denoted ζ {\displaystyle \zeta } (pronounced zeta), is a holomorphic function defined on C ∖ { 1 } {\displaystyle \mathbb {C} \setminus \{1\}} .
For s {\displaystyle s} such that Re ( s ) > 1 {\displaystyle \operatorname {Re} (s)>1} , we have:
ζ ( s ) = ∑ n = 1 ∞ 1 n s {\displaystyle \zeta (s)=\sum _{n=1}^{\infty }{\frac {1}{n^{s}}}}
