Difference between revisions of "Mertens"
From specialfunctionswiki
| (2 intermediate revisions by the same user not shown) | |||
| Line 8: | Line 8: | ||
</gallery> | </gallery> | ||
</div> | </div> | ||
| + | |||
| + | =Properties= | ||
| + | |||
| + | =Videos= | ||
| + | [https://www.youtube.com/watch?v=yiyuu9HiXUI Möbius Function - Merten's function (4 September 2007)]<br /> | ||
| + | [https://www.youtube.com/watch?v=jjuNYAkPVTY Möbius Function - Merten's conjecture (4 September 2007)]<br /> | ||
| + | |||
| + | =References= | ||
| + | |||
| + | {{:Number theory functions footer}} | ||
[[Category:SpecialFunction]] | [[Category:SpecialFunction]] | ||
Latest revision as of 17:41, 12 October 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 $M$.
Properties
Videos
Möbius Function - Merten's function (4 September 2007)
Möbius Function - Merten's conjecture (4 September 2007)
