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  • 5 years ago

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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  1. anonymous
    • 5 years ago
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    Haha, If only it were as simply solved as asking in a forum.

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