On the rank of elliptic curves
Jorma Jormakka
TL;DR
This paper claims to disprove the Birch and Swinnerton-Dyer conjecture by providing a proof that it is false, challenging a central hypothesis in number theory.
Contribution
It presents a proof that the Birch and Swinnerton-Dyer conjecture is false, which is a significant and controversial claim in mathematics.
Findings
The Birch and Swinnerton-Dyer conjecture is false.
Counterexamples or proofs demonstrating the conjecture's invalidity.
Implications for research in elliptic curves and number theory.
Abstract
The paper proves that the Birch and Swinnerton-Dyer conjecture is false.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Cryptography and Residue Arithmetic · Historical and Political Studies