\(\boxed{ζ(s)=\sum_{k=1}^{∞}\frac{1}{k^s}}\)

Applying the analytic continuation of \(ζ(s)\) over all complex numbers, define \(n\) as all values of \(ζ(s)\) that equal \(0\).

All values of \(n\) that exhibit the property \(Im(n)≠0\) are such that \(Re(n)=\frac{1}{2}\). Is this claim true? If so, prove it, and if not, present a counter-example.

SundriedFrog Sep 6, 2022