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arXiv · 2406.07014

Riemann's Auxiliary Function. Right limit of zeros

Juan Arias de Reyna
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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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Juan Arias de Reyna. 2024-06-11. Riemann's Auxiliary Function. Right limit of zeros. https://arxiv.org/abs/2406.07014

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