## Empty one year ago Looking for a particular function...

1. Empty

The function I'm looking for I'll call $$f(n)$$. It obeys this relationship to the zeta function: $\zeta(s) = \sum_{n=1}^\infty \frac{1}{n^s}$ Here's the relationship: $[\zeta(s)]^i = \sum_{n=1}^\infty \frac{f(n)}{n^s}$

2. Empty

This is one sort of generalization of the Mobius function $$\mu(n)$$ which obeys this relationship for anyone who's interested or curious why I'm interested in this. :P $[\zeta(s)]^{-1} = \sum_{n=1}^\infty \frac{\mu(n)}{n^s}$