Difference between revisions of "Prime zeta P"
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The prime zeta function is defined by | The prime zeta function is defined by | ||
$$P(z) = \displaystyle\sum_{p \mathrm{\hspace{2pt} prime}} \dfrac{1}{p^z},$$ | $$P(z) = \displaystyle\sum_{p \mathrm{\hspace{2pt} prime}} \dfrac{1}{p^z},$$ | ||
| − | where $\mathrm{Re}(z)>1$. | + | where $\mathrm{Re}(z)>1$. It can be extended outside of this domain via [[analytic continuation]]. |
[[File:Primezeta.png|500px]] | [[File:Primezeta.png|500px]] | ||
Revision as of 01:04, 19 October 2014
The prime zeta function is defined by $$P(z) = \displaystyle\sum_{p \mathrm{\hspace{2pt} prime}} \dfrac{1}{p^z},$$ where $\mathrm{Re}(z)>1$. It can be extended outside of this domain via analytic continuation.
