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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
ZENODO
Preprint . 2025
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2025
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2025
License: CC BY
Data sources: Datacite
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BSD — Résolution constructive via AVDR, PF∞ et Double-Verrou

descriptionPublicationkeyboard_double_arrow_right Preprint 26 Nov 2025 French Publisher:Zenodo
Authors: ETIENNE, aubin;

doi: 10.5281/zenodo.17720105 , 10.5281/zenodo.17720106

BSD — Résolution constructive via AVDR, PF∞ et Double-Verrou

Abstract

Ce document présente une résolution constructive du problème BSD (Birch & Swinnerton-Dyer) à l’aide du moteur de démonstration d’Obsidia : AVDR (Axiome-Vibration-Dynamique-Réversion), PF∞ (Filtrage fractal infinitésimal) et le double-verrou RCε/AK.L’approche combine stabilité dynamique, invariance fractale, reconstitution par flux et trajectoire de stabilisation complète.Le document inclut : démonstration principale, annexes, trajectoires, schémas, protocole de vérification externe et robustesse croisée.Recherche totalement indépendante, non financée, réalisée en 2024–2025.Ce preprint appartient au cycle de recherche Obsidia consacré aux six problèmes du millénaire.

Keywords

BSD Birch Swinnerton-Dyer Obsidia AVDR PF∞ Double-Verrou RCε/AK Courbes elliptiques Fonctions L Méthodes fractales Problèmes du Millénaire, BSD Birch Swinnerton-Dyer Obsidia AVDR PF∞ Double-Verrou RCε/AK Elliptic Curves L-functions Millennium Problems Fractal Methods, BSD Birch Swinnerton-Dyer Obsidia AVDR PF∞ Double-Verrou RCε/AK Courbes elliptiques Fonctions L Méthodes fractales Problèmes du Millénaire

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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Average
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