OpenNumber Theory·1965
Birch-Swinnerton-Dyer
Relates rational points on elliptic curves to the behavior of their L-functions at s = 1.
The Birch and Swinnerton-Dyer conjecture predicts that the rank of an elliptic curve is encoded by the order of vanishing of its L-function. It is a Millennium Prize Problem.
Summary
The Birch and Swinnerton-Dyer conjecture predicts that the rank of an elliptic curve is encoded by the order of vanishing of its L-function. It is a Millennium Prize Problem.