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| Hlavní autor: | |
|---|---|
| Médium: | Recurso digital |
| Jazyk: | angličtina |
| Vydáno: |
Zenodo
2026
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| Témata: | |
| On-line přístup: | https://doi.org/10.5281/zenodo.19601010 |
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Obsah:
- <p>The nontrivial zeros of the Riemann zeta function are described through density and spacing.<br>Computations on the first one hundred zeros reveal five regimes in the response of curvature as<br>the measurement scale changes, from pole behavior to bulk density. Perturbations produce a<br>response that follows a common normalized curve across dyadic bands. A rank relation between<br>normalized curvature and local inverse spacing appears, with Spearman correlation near −0.841<br>for the true zeros. Systems constructed to match the gap distribution produce correlations near<br>zero, with separation approximately 0.838. Gap distribution determines magnitude. Ordering<br>defines arrangement. A bandwise response analysis shows that peak location remains fixed<br>at σ = 1/2 across all scales, while peak sharpness varies with measurement window: location<br>invariant, structure scale-dependent.</p>