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The Birch and Swinnerton-Dyer Conjecture and the Principle of Minimal Information Preservation

Year: 2026

Type: preprint

Abstract: This study presents a demonstration of the Birch and Swinnerton-Dyer Conjecture based on the Principle of Minimal Information Preservation. The approach establishes that the rank of an elliptic curve and the order of vanishing of its \(L\)-function correspond to the same information expressed through two different representations. It shows how the local counts associated with prime numbers are assembled into the function \(L(E,s)\), while preserving the essential information needed to identify the rank.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.22713125

Author: Diao, Ahmadou Moustapha

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7212235117

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