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| Hovedforfatter: | |
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| Format: | Recurso digital |
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| Udgivet: |
Zenodo
2026
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| Fag: | |
| Online adgang: | https://doi.org/10.5281/zenodo.19943906 |
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Indholdsfortegnelse:
- <p> </p> <p>This scientific paper provides a formal resolution to the Birch and Swinnerton-Dyer (BSD) conjecture for elliptic curves defined over the field of rational numbers. By introducing a framework of non-perturbative spectral anchoring, the author demonstrates that the analytical rank of an elliptic curve is intrinsically equivalent to the algebraic rank of its Mordell-Weil group. The proof establishes that any discrepancy between these indices induces a catastrophic divergence in the manifold's information density, which is precluded by a fundamental principle of topological exclusion, thereby ensuring the global stability of the arithmetic substrate.</p> <p> </p>