Beweis der Riemannschen Vermutung über ein reguliertes normiertes Integralmodell
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arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909729210499072 |
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| author | Welz, Dennis-Magnus |
| author_facet | Welz, Dennis-Magnus |
| contents | We prove the Riemann Hypothesis via an analytically regulated surface integral over the critical strip of the Riemann zeta function. The key idea is that the convergence of this normalized integral is equivalent to the condition that all non-trivial zeros lie on the critical line. By constructing a singularity-sensitive integrand and removing infinitesimal disks around the poles, we isolate all divergence contributions analytically. The resulting integral model is independent of specific zero locations and provides a purely analytic criterion equivalent to the Riemann Hypothesis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_23238 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Beweis der Riemannschen Vermutung über ein reguliertes normiertes Integralmodell Welz, Dennis-Magnus General Mathematics 11M26, 11M06 We prove the Riemann Hypothesis via an analytically regulated surface integral over the critical strip of the Riemann zeta function. The key idea is that the convergence of this normalized integral is equivalent to the condition that all non-trivial zeros lie on the critical line. By constructing a singularity-sensitive integrand and removing infinitesimal disks around the poles, we isolate all divergence contributions analytically. The resulting integral model is independent of specific zero locations and provides a purely analytic criterion equivalent to the Riemann Hypothesis. |
| title | Beweis der Riemannschen Vermutung über ein reguliertes normiertes Integralmodell |
| topic | General Mathematics 11M26, 11M06 |
| url | https://arxiv.org/abs/2505.23238 |