[tex]\varsigma(s) = \sum^{\infty}_{n=1}n^{-s}[/tex](adsbygoogle = window.adsbygoogle || []).push({});

If you substitute a trivial zero, lets say -2. Wouldn't it be

[tex]\varsigma(s) = \sum^{\infty}_{n=1} = 1^2 + 2^2 + 3^2 + 4^2 + . . .[/tex]

How would this series be equals to zero?

Thanks

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# Why are the trivial zeros negative even integers?

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