I don't know if this identity has been found before but I have never seen it before in my study of Merten's function, so I believe this to be original. I derived the following interesting identity involving Merten's function(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \sum_{ 1 \leq n \leq p - 1 } M( \frac {p}{n} ) = 0, \ \forall \ p \ \epsilon \ \Re[/tex]

where M(x) is Merten's function.

Tell me your thoughs ...

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# Nice Identity

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