Difference between revisions of "Mertens"
From specialfunctionswiki
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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]]. | ||
| + | |||
| + | <div align="center"> | ||
| + | <gallery> | ||
| + | File:Mertensplot,n=0to2000.png|Graph of $M$. | ||
| + | </gallery> | ||
| + | </div> | ||
[[Category:SpecialFunction]] | [[Category:SpecialFunction]] | ||
Revision as of 23:25, 16 June 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.
Graph of $M$.
