Difference between revisions of "Meissel-Mertens constant in terms of the Euler-Mascheroni constant"
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(Created page with "==Theorem== The following formula holds: $$M=\gamma + \displaystyle\sum_{p \leq n;p \mathrm{\hspace{2pt} prime}} \left[ \log \left( 1 - \dfrac{1}{p} \right) + \dfrac{1}{p} \ri...") |
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Latest revision as of 00:29, 20 August 2016
Theorem
The following formula holds: $$M=\gamma + \displaystyle\sum_{p \leq n;p \mathrm{\hspace{2pt} prime}} \left[ \log \left( 1 - \dfrac{1}{p} \right) + \dfrac{1}{p} \right],$$ where $M$ denotes the Meissel-Mertens constant, $\gamma$ denotes the Euler-Mascheroni constant, and $\log$ denotes the logarithm.
