# Do the roots of R(x) have any significance for the prime counting function?

I'm calculating the roots of the function $$R(x) = \sum_{k=1}^{\infty}\frac{\mu(k)}{k}li(x^{1/k})$$ This function seems to have a largest and smallest positive root. Can anyone tell me if the roots of $R(x)$ have any significance for the prime counting function?

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