Trivial zeros of Riemann auxiliary function
Abstract
It is proved that $s=-2n$ is a simple zero of $\mathop{\mathcal R}(s)$ for each integer $n\ge1$. Here $\mathop{\mathcal R}(s)$ is the function found by Siegel in Riemann's posthumous papers.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2024
- DOI:
- 10.48550/arXiv.2406.09796
- arXiv:
- arXiv:2406.09796
- Bibcode:
- 2024arXiv240609796A
- Keywords:
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- Mathematics - Number Theory;
- Primary 11M06;
- Secondary 30D99
- E-Print:
- 5 pages