A New Operator-Based Framework for the Riemann Hypothesis VAHID BAYGAN
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2025
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| _version_ | 1866901723169161216 |
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| author | BAYGAN, VAHID |
| author_facet | BAYGAN, VAHID |
| contents | <p>This document presents a novel operator-theoretic framework for addressing</p> <p>the Riemann Hypothesis. I define an explicit self-adjoint differential operator on a</p> <p>weighted Hilbert space and demonstrate its spectral connection to the non-trivial</p> <p>zeros of the Riemann zeta function. This work constitutes a significant advance-</p> <p>ment of the Hilbert-Polya program, providing a concrete and analyzable path to-</p> <p>ward a potential proof. The framework is supported by rigorous mathematical</p> <p>formulation and numerical verification.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17400982 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | A New Operator-Based Framework for the Riemann Hypothesis VAHID BAYGAN BAYGAN, VAHID Mathematical analysis Mathematical logic Mathematics Mathematics/education Mathematics/ethics Mathematics/instrumentation Mathematics/methods Mathematical analysis Pure mathematics Applied mathematics Riemann <p>This document presents a novel operator-theoretic framework for addressing</p> <p>the Riemann Hypothesis. I define an explicit self-adjoint differential operator on a</p> <p>weighted Hilbert space and demonstrate its spectral connection to the non-trivial</p> <p>zeros of the Riemann zeta function. This work constitutes a significant advance-</p> <p>ment of the Hilbert-Polya program, providing a concrete and analyzable path to-</p> <p>ward a potential proof. The framework is supported by rigorous mathematical</p> <p>formulation and numerical verification.</p> |
| title | A New Operator-Based Framework for the Riemann Hypothesis VAHID BAYGAN |
| topic | Mathematical analysis Mathematical logic Mathematics Mathematics/education Mathematics/ethics Mathematics/instrumentation Mathematics/methods Mathematical analysis Pure mathematics Applied mathematics Riemann |
| url | https://doi.org/10.5281/zenodo.17400982 |