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| Format: | Recurso digital |
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| Veröffentlicht: |
Zenodo
2025
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| Online-Zugang: | https://doi.org/10.5281/zenodo.17658230 |
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Inhaltsangabe:
- <p>We establish a duality between (i) normality of real-number expansions and (ii) GUE-type<br>zero spacing for automorphic L–functions, arising naturally from the Mellin-free Fredholm<br>framework of CMTMB I–V. The key observation is that both phenomena are governed<br>by the same Gaussian Fredholm deformation: finite–κ kernels enforce positive spacing and<br>uniform digit frequencies, while the limit κ → 0+ transmits these structural constraints<br>to the automorphic and arithmetic spectra. This provides a unified explanation of the<br>Montgomery–Dyson law and Borel’s normality conjecture.</p>