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Post Closed as "Not suitable for this site" by Michael Renardy, Alex Degtyarev, Franz Lemmermeyer, R.P., Daniel Loughran

occurred Oct 23, 2016 at 16:24

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edited Oct 23, 2016 at 9:47

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analytic-continuation nt.number-theory analytic-number-theory riemann-zeta-function zeta-functions analytic-continuation

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asked Feb 19, 2013 at 2:33

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Analytical continuation of the reciprocal of the Zeta function

Is the reciprocal of the Zeta function analytically continuable?

As $1/\zeta(n) = \sum_{n=1}^\infty \mu(n)/{n^s}$, this does not look obvious.

analytic-continuation zeta-functions