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Birch Swinnerton Dyer Conjecture with applications and verifications

Year: 2025

Type: article

Abstract: he Birch and Swinnerton-Dyer (BSD) Conjecture is a profound and central conjecture in number theory. It proposes a relationship between the algebraic properties of an elliptic curve defined over a number field (typically the rational numbers, $\mathbb{Q}$) and the analytic behavior of its associated L-function. This paper explores the conjecture, its components, and illustrative examples. It also touches upon equivalent principles and related concepts such as Tate's algorithm and Tunnell's Theorem.

Source: Knowledge Commons (Lakehead University)

DOI: 10.17613/7ecbd-e8s94

Authors: Eshemitan, David, Eshemitan, David

Institution: Walden University

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6906354155

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