Difference between revisions of "Mertens"

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$$M(n)=\displaystyle\sum_{k=1}^n \mu(k),$$
 
$$M(n)=\displaystyle\sum_{k=1}^n \mu(k),$$
 
where $\mu$ is the [[Möbius function]].
 
where $\mu$ is the [[Möbius function]].
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[[Category:SpecialFunction]]

Revision as of 18:49, 24 May 2016

Let $n \in \mathbb{Z}^+$. Define the Mertens function $$M(n)=\displaystyle\sum_{k=1}^n \mu(k),$$ where $\mu$ is the Möbius function.