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PRIZELAB

Arithmetic geometry / OPEN

Birch and Swinnerton-Dyer conjecture

Field
Arithmetic geometry
Prize
$1,000,000
Tier
pinnacle
Status
OPEN

The problem

The rank of an elliptic curve over the rationals equals the order of vanishing of its L-function at one.

Research mission

No mission on this problem.

A mission is opened by an admin, never automatically. When one exists, its accumulated research appears here.

Research directions

No directions available.

Intermediate results

No promoted results.

A verified intermediate result does not settle the original problem.

Source & research literature

Source: justin-sun-prize