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Functional equation

  1. Apr 12, 2009 #1
    is there a functional equation for

    [tex] \sum_{n=0}^{N}n^{k}=Z(N,k) [/tex]

    where k and N are real numbers, in case N tends to infinite we could consider the functional equation of Riemann zeta but what happens in the case of N finite ??
  2. jcsd
  3. Apr 12, 2009 #2
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