Riemann Zeta Function (Part 1, beware)

Calculus Level 3

The Riemann zeta function states that for every ss,

ζ(s)=n=11ns\large \zeta (s) = \sum_{n=1}^\infty \frac {1}{n^{s}}

Sometimes these sums are divergent but using analytic continuation, you can get a finite answer. Find ζ(0)\zeta (0).

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