The Gyrocentrifical Equilibrium: The Spectrum of the Riemann Zeta Non-Trivial Zeros Function
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| Format: | Recurso digital |
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Zenodo
2026
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| _version_ | 1866901233918279680 |
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| author | Tantisukarom, Chaiya |
| author_facet | Tantisukarom, Chaiya |
| contents | <p>This article explores the Prime Number Theorem and the Riemann Hypothesis through the lens of signal processing and periodical rotation. We propose that the critical line at $s = 1/2$ is not merely a geometric locus but a dynamic gyrocentrifical center. By applying Fourier analysis to the von Mangoldt function and the Zeta non-trivial zeros, we demonstrate how prime powers act as decaying harmonics and how the "swag" of the prime-counting error term maintains a stable orbit around the fundamental frequency state of $1/2$.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18889396 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Gyrocentrifical Equilibrium: The Spectrum of the Riemann Zeta Non-Trivial Zeros Function Tantisukarom, Chaiya <p>This article explores the Prime Number Theorem and the Riemann Hypothesis through the lens of signal processing and periodical rotation. We propose that the critical line at $s = 1/2$ is not merely a geometric locus but a dynamic gyrocentrifical center. By applying Fourier analysis to the von Mangoldt function and the Zeta non-trivial zeros, we demonstrate how prime powers act as decaying harmonics and how the "swag" of the prime-counting error term maintains a stable orbit around the fundamental frequency state of $1/2$.</p> |
| title | The Gyrocentrifical Equilibrium: The Spectrum of the Riemann Zeta Non-Trivial Zeros Function |
| url | https://doi.org/10.5281/zenodo.18889396 |