Spectral Operator Framework for Riemann Hypothesis
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| Format: | Recurso digital |
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Zenodo
2025
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| _version_ | 1866902188785139712 |
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| author | Ram, Pranad |
| author_facet | Ram, Pranad |
| contents | <p>We construct a self-adjoint operator H on a weighted Hilbert space L<br>2<br>((0, ∞), w(x) dx),<br>whose spectrum consists precisely of the imaginary parts of the non-trivial zeros of the<br>Riemann zeta function. We rigorously justify self-adjointness, construct the potential<br>V (x), prove spectral correspondence with zeta zeros, demonstrate functional symmetry,<br>and derive the spectral determinant equal to ζ(s). Numerical approximations reinforce<br>the spectral match. This work proposes a complete operator-theoretic realization of<br>the Riemann Hypothesis.</p> <p>For any suggestions please contact this email id: pranadram25@gmail.com</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15676087 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Spectral Operator Framework for Riemann Hypothesis Ram, Pranad <p>We construct a self-adjoint operator H on a weighted Hilbert space L<br>2<br>((0, ∞), w(x) dx),<br>whose spectrum consists precisely of the imaginary parts of the non-trivial zeros of the<br>Riemann zeta function. We rigorously justify self-adjointness, construct the potential<br>V (x), prove spectral correspondence with zeta zeros, demonstrate functional symmetry,<br>and derive the spectral determinant equal to ζ(s). Numerical approximations reinforce<br>the spectral match. This work proposes a complete operator-theoretic realization of<br>the Riemann Hypothesis.</p> <p>For any suggestions please contact this email id: pranadram25@gmail.com</p> |
| title | Spectral Operator Framework for Riemann Hypothesis |
| url | https://doi.org/10.5281/zenodo.15676087 |