Difference between revisions of "Derivative of prime zeta"
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Revision as of 18:42, 20 September 2016
Theorem
The following formula holds: $$P'(z)=-\displaystyle\sum_{p \mathrm{\hspace{2pt} prime}} \dfrac{\log(p)}{p^z},$$ where $P$ denotes the prime zeta function and $\log$ denotes the logarithm.
