Riemann zeros and the KKR determinant
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908311983489024 |
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| author | Pei, Zongrui |
| author_facet | Pei, Zongrui |
| contents | We transform the counting function for the Riemann zeros into a Korringa-Kohn-Rostoker (KKR) determinant, assisted by Krein's theorem. This is based on our observation that the function derived from a few methods can all be recast into two terms: one corresponds to the scattering phase, and the other is similar to structure constants related to the Green function. We also discuss the possible physical realizations. Our method provides a new physical pathway towards the solution of the Riemann hypothesis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07928 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Riemann zeros and the KKR determinant Pei, Zongrui Quantum Physics We transform the counting function for the Riemann zeros into a Korringa-Kohn-Rostoker (KKR) determinant, assisted by Krein's theorem. This is based on our observation that the function derived from a few methods can all be recast into two terms: one corresponds to the scattering phase, and the other is similar to structure constants related to the Green function. We also discuss the possible physical realizations. Our method provides a new physical pathway towards the solution of the Riemann hypothesis. |
| title | Riemann zeros and the KKR determinant |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2504.07928 |