Talk:Dirichlet series

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Mathematics rating: Start Class Mid Priority  Field: Analysis


a Dirichlet series is a series taken over the inverse powers of the integers.

The above seems horribly vague. "Powers"—plural—seems to imply the values of the exponents will be different. If all I had to go by was the sentence above, I would have no way to tell what is and what is not a Dirichlet series. Michael Hardy 22:41, 17 May 2006 (UTC)


sorry..for the inconvinience, but if:

 F(s)= \sum_{n=1}^{\infty} f(n) n^{-s}

then what could we say about G(s) so:

 G(s)= \sum_{n=1}^{\infty} f(n+k) n^{-s}

where k is a positive integer, is there any relationship between G(s) and F(s) ?? --85.85.100.144 21:36, 21 February 2007 (UTC)