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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.11279 |
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Table of Contents:
- We show that there is a sequence of zeros of $\mathop{\mathcal R}(s)$ in the fourth quadrant. We show that the $n$-th zero $ρ_{-n}=β_{-n}+iγ_{-n}$, with $β_{-n}\sim 4π^2 n/\log^2n$ and $γ_{-n}\sim-4πn/\log n$. We give the first terms of an asymptotic development of $ρ_{-n}$ and an algorithm to calculate $ρ_{-n}$ from $n$.