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The Riesz function is defined by $$\operatorname{Riesz}(x):=\sum_{n=1}^\infty \frac{(-1)^{k-1} x^k}{(k-1)!\zeta(2k)}$$ where $\zeta$ is the Riemann zeta function. Marcel Riesz showed that the Riemann hypothesis (RH) is equivalent to the claim that for any $\varepsilon>0$, we have $\operatorname{R...