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Periodicity in the distribution of non-trivial zeros of the Riemann Zeta function

Let us consider the Riemann Zeta function non-trivial zeros $\rho_{n}=\frac{1}{2} + i\gamma_{n}$. Let us now consider the following sum: $\tau (n)=\sum_{k=1}^{n}\sin(k)\sin(\gamma _{k})$ where: $\gamm …
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