how do i calculate values of the riemann zeta function in the critical strip? because if you only know zeta as a series:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\zeta(s) = \sum 1/n^s

[/tex]

and the functional equation

[tex]

\zeta(s) = 2^s\pi^{s-1}\sin\left(\frac{\pi s}{2}\right)\Gamma(1-s)\zeta(1-s) \!

[/tex]

you can only calculate values that have real part bigger then 1 or smaller then 0.

i know i can use a math software to calculate it but i want to understand the process.

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# Zeta function in the critical strip

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