The Riemann Hypothesis
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| Formato: | Recurso digital |
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2026
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| _version_ | 1866901147322679296 |
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| author | Tantisukarom, Chaiya |
| author_facet | Tantisukarom, Chaiya |
| contents | <p>This document serves as a technical audit of Bernhard Riemann's 1859 memoir, ``On the Number of Primes Less Than a Given Magnitude.'' By divorcing the discrete reality of prime numbers from the continuous mathematical models used to describe them, we reframe the Riemann Hypothesis not as an ontological truth of the universe, but as a global stability criterion for an analytic measurement tool. The audit applies principles of digital signal processing (DSP), analytic continuity, and the ``negligible theorem'' to demonstrate that the $1/2$ critical line is an optimal calibration set-point for Signal-to-Noise Ratio (SNR), rather than a structural requirement of the primes themselves.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19676798 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Riemann Hypothesis Tantisukarom, Chaiya <p>This document serves as a technical audit of Bernhard Riemann's 1859 memoir, ``On the Number of Primes Less Than a Given Magnitude.'' By divorcing the discrete reality of prime numbers from the continuous mathematical models used to describe them, we reframe the Riemann Hypothesis not as an ontological truth of the universe, but as a global stability criterion for an analytic measurement tool. The audit applies principles of digital signal processing (DSP), analytic continuity, and the ``negligible theorem'' to demonstrate that the $1/2$ critical line is an optimal calibration set-point for Signal-to-Noise Ratio (SNR), rather than a structural requirement of the primes themselves.</p> |
| title | The Riemann Hypothesis |
| url | https://doi.org/10.5281/zenodo.19676798 |