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

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Empty
 one year ago
Best ResponseYou've already chosen the best response.0The 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: \[[\zeta(s)]^i = \sum_{n=1}^\infty \frac{f(n)}{n^s}\]

Empty
 one year ago
Best ResponseYou've already chosen the best response.0This 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 \[[\zeta(s)]^{1} = \sum_{n=1}^\infty \frac{\mu(n)}{n^s}\]
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