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@FaustianReactor

Let

ζ(s)=n=1∑∞ns1for ℜ(s)>1,

and let ζ(s) denote its analytic continuation to the complex plane except for a simple pole at s=1.

The function ζ(s) has:
trivial zeros at the negative even integers, and
nontrivial zeros in the critical strip 0<ℜ(s)<1.
Prove or disprove that every nontrivial zero s of ζ(s) satisfies:

ℜ(s)=21.
 
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