Are there known any lower and upper bounds for $$ \sum_{k=1}^n \frac{(-1)^{\Omega(k)}}k, $$ where $\Omega(n)$ is the number of prime factors counting multiplicities of $n$?
Or at least is it known if it is always positive?
lower and upper bound for $\sum_{k=1}^n \frac{(-1)^{\Omega(k)}}k$?
asad
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