Analytical continuation of prime zeta function for $\Re(s)>\frac{1}{2}$ assuming (RH)
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910081487994880 |
|---|---|
| author | Kawalec, Artur |
| author_facet | Kawalec, Artur |
| contents | We derive a simple expression to analytically continue the prime zeta function to the domain $\Re(s)>\frac{1}{2}$ assuming (RH) and taking into account a proper branch cut. We also verify the formula numerically and provide several plots. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_25076 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Analytical continuation of prime zeta function for $\Re(s)>\frac{1}{2}$ assuming (RH) Kawalec, Artur Number Theory We derive a simple expression to analytically continue the prime zeta function to the domain $\Re(s)>\frac{1}{2}$ assuming (RH) and taking into account a proper branch cut. We also verify the formula numerically and provide several plots. |
| title | Analytical continuation of prime zeta function for $\Re(s)>\frac{1}{2}$ assuming (RH) |
| topic | Number Theory |
| url | https://arxiv.org/abs/2603.25076 |