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Math Help - zeta zeros

  1. #1
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    zeta zeros

    Could someone please explain why the zeta function has trivial zeros at the negative even integers?
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  2. #2
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    Quote Originally Posted by bigdoggy View Post
    Could someone please explain why the zeta function has trivial zeros at the negative even integers?

    The zeta function's Horowitz functional equation is





    You can also use the above functional relation in its equivalent form \zeta(1-s)=2(2\pi)^{-s}\,\Gamma(s)\cos\!\left(\frac{\pi s}{2}\right)\zeta(s)

    Tonio
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