# Nice Identity

1. May 5, 2004

### MathNerd

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

$$\sum_{ 1 \leq n \leq p - 1 } M( \frac {p}{n} ) = 0, \ \forall \ p \ \epsilon \ \Re$$

where M(x) is Merten's function.