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Riemann's Auxiliary Function. Right limit of zeros
Published 11 Jun 2024 in math.NT | (2406.07014v1)
Abstract: Numerical data suggest that the zeros $\rho$ of the auxiliary Riemann function in the upper half-plane satisfy $\mathop{\mathrm{Re}}(\rho)<1$. We show that this is true for those zeros with $\mathop{\mathrm{Im}}(\rho)> 3.9211\dots10{65}$. We conjecture that this is true for all of them.
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