A Spectral, Non-Commutative & Motivic Proof of the Birch & Swinnerton-Dyer Conjecture

Zenodo (CERN European Organization for Nuclear Research) 2026 Preprint Open access

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Authors: Justin Hughes
DOI: 10.5281/zenodo.18194749
Cited by: 0

Abstract

We present a complete, unconditional proof of the Birch & Swinnerton-Dyer (BSD) conjecture for all elliptic curves E/Q using Spectral theory of a self-adjoint operator in Hilbert Space.

Fields of Study & Subjects

Advanced Operator Algebra Research Spectral Theory in Mathematical Physics Advanced Harmonic Analysis Research

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
9 January 2026
Document type
Preprint