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Convergence of the summation 1/p^(1+iy) (over all primes p with y a nonzero real number)
For $z\in\mathbb{C}$ with real part greater than $1$ the sum $$\sum_{p}{\frac{1}{p^z}},$$ where the sum is taken over all primes $p$, converges absolutely. It is also well known that the same sum with ...
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