Englisch-Finnisch Übersetzung für riemann zeta function

The function ''ζ'defined by the Dirichlet series $\textstyle \zeta=\sum_{n=1}^\infty \frac 1 {n^s} = \frac1{1^s} + \frac1{2^s} + \frac1{3^s} + \frac1{4^s} + \cdots$ , which is summable for points ''s'in the complex half-plane with real part > 1; the analytic continuation of said function, being a holomorphic function defined on the complex numbers with pole at one|1
A usage of the Riemann zeta function, such as in an equation

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