On the Resolution of the Riemann Hypothesis via a Self-Adjoint Operator
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| Format: | Recurso digital |
| Sprache: | Englisch |
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2025
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| _version_ | 1866901601536442368 |
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| author | Antipov, Alexander |
| author_facet | Antipov, Alexander |
| contents | <p>In this paper, we construct a self-adjoint differential operator whose spectral properties are intimately connected with the Riemann zeta function. Specifically, we demonstrate that the eigenvalues of this operator are asymptotically related to the zeros of the Riemann zeta function. We establish several fundamental properties of this operator, including its self-adjointness, the discreteness of its spectrum, and the asymptotic behavior of its eigenvalues. The construction utilizes techniques from functional analysis, spectral theory, and complex analysis. This approach provides a novel perspective on the distribution of zeros of the Riemann zeta function and suggests new analytical methods for investigating the Riemann Hypothesis</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15130871 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | On the Resolution of the Riemann Hypothesis via a Self-Adjoint Operator Antipov, Alexander Mathematics Mathematics Riemann zeta function self-adjoint operators spectral theory eigenvalue asymptotics functional analysis <p>In this paper, we construct a self-adjoint differential operator whose spectral properties are intimately connected with the Riemann zeta function. Specifically, we demonstrate that the eigenvalues of this operator are asymptotically related to the zeros of the Riemann zeta function. We establish several fundamental properties of this operator, including its self-adjointness, the discreteness of its spectrum, and the asymptotic behavior of its eigenvalues. The construction utilizes techniques from functional analysis, spectral theory, and complex analysis. This approach provides a novel perspective on the distribution of zeros of the Riemann zeta function and suggests new analytical methods for investigating the Riemann Hypothesis</p> |
| title | On the Resolution of the Riemann Hypothesis via a Self-Adjoint Operator |
| topic | Mathematics Mathematics Riemann zeta function self-adjoint operators spectral theory eigenvalue asymptotics functional analysis |
| url | https://doi.org/10.5281/zenodo.15130871 |