New answers tagged arithmetic-functions
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Estimate for a sum over an index set involving divisors
Denote $n=p_{1}\cdot...\cdot p_{m}$ (so $m=\omega\left(n\right)$). First, we understand $\square$. As $p\mid r\Longrightarrow p\mid n$ and $n$ is square-free, we must have $\left(n,r\right)=rad\left(r\...
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Calculating the interval of convergence of $G(s)$
Hints:
What about $\sum_{p}g(p)/p^s$ (the sum is over primes)?
What about the difference of this series with $G(s)$?
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