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Thread: Zeta Question

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

    Riemann zeta function

    Hello,
    I'm studying a proof outline of the Prime Number theorem and I get the equality
    $\displaystyle Z(s)=-\frac{\zeta'(s)}{\zeta(s)}$
    (which is equal to the Dirichlet serie of the von Mangoldt function Lambda)
    The author says that
    $\displaystyle \zeta$ and $\displaystyle Z(s)$ 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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