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∑d∣nμ(nd)f(d)=n\sum_{d|n}\mu\left(\frac{n}{d}\right)f(d)=nd∣n∑μ(dn)f(d)=n
If f(d)f(d)f(d) is an arithmetic function such that the equation above holds for all positive integers nnn, find f(2015)f(2015)f(2015).
Notation: μ\muμ denotes the Möbius function.
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