Riemann Zeta Function (Part 2, beware)

Calculus Level 4

The Riemann zeta function states that for every \(s\),

\(\zeta (s) = \displaystyle \sum_{n=1}^\infty \frac {1}{n^{s}}\).

Sometimes these sums are divergent but using analytic continuation, you can get a finite answer.

Find \(\zeta (0.5)\).

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