If f(s) = 1 + 1/2^s + 1/3^s + 1/4^s + ... If s belongs to the set of all complex numbers and It has trivial zeros at the negative even integers (i.e. at s = −2, −4, −6, ...). Prove that all non-trivial zeros lie on the verticle line: 1/2 + it, where t is a real number and i is the imaginary unit.

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If f(s) = 1 + 1/2^s + 1/3^s + 1/4^s + ... If s belongs to the set of all complex numbers and It has trivial zeros at the negative even integers (i.e. at s = −2, −4, −6, ...). Prove that all non-trivial zeros lie on the verticle line: 1/2 + it, where t is a real number and i is the imaginary unit.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Haha, If only it were as simply solved as asking in a forum.

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