More fun in 2015, Part 39

Number Theory Level 3

∑d∣nμ(nd)f(d)=n\sum_{d|n}\mu\left(\frac{n}{d}\right)f(d)=n

If f(d)f(d) is an arithmetic function such that the equation above holds for all positive integers nn, find f(2015)f(2015).

Notation: μ\mu denotes the Möbius function.

Otto Bretscher by Otto Bretscher
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