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Math Help - Zeta Question

  1. #1
    Newbie Klaus's Avatar
    Joined
    May 2008
    Posts
    10

    Riemann zeta function

    Hello,
    I'm studying a proof outline of the Prime Number theorem and I get the equality
    Z(s)=-\frac{\zeta'(s)}{\zeta(s)}
    (which is equal to the Dirichlet serie of the von Mangoldt function Lambda)
    The author says that
    \zeta and Z(s) are of the same kind where the fraction is defined but I do not see why...

    Could someone give me a piece of advice ?
    Last edited by Klaus; May 11th 2008 at 09:36 AM.
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