How do you simplify the following equation in terms of other arithmetic functions?
$$ f(n)= \sum_{d|n} \mu(d) log(d) ? $$
log(n) is not a multiplicative arithmetic function, so i dont know what to do...
2025-01-13 02:15:36.1736734536
Arithmetic functions & logs
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This is (up to the sign) the well known von Mangoldt function : $$\Lambda(n)= -\sum_{d|n} \mu(d) \log(d)$$