Birch and Swinnerton-Dyer conjecture
GPTKB entity
Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:award |
1 million US dollars
|
| gptkbp:awardedBy |
gptkb:Clay_Mathematics_Institute
|
| gptkbp:category |
open problem in mathematics
|
| gptkbp:concerns |
elliptic curves
|
| gptkbp:field |
number theory
|
| gptkbp:formedBy |
1960s
|
| gptkbp:influencedBy |
gptkb:Taniyama–Shimura_conjecture
|
| gptkbp:isOneOf |
gptkb:Millennium_Prize_Problems
|
| gptkbp:proposedBy |
gptkb:Bryan_Birch
gptkb:Peter_Swinnerton-Dyer |
| gptkbp:relatedTo |
gptkb:Mordell–Weil_theorem
gptkb:Tate–Shafarevich_group L-function of elliptic curve rank of elliptic curve |
| gptkbp:sentence |
The rank of an elliptic curve equals the order of zero of its L-function at s=1.
|
| gptkbp:status |
unsolved
|
| gptkbp:bfsParent |
gptkb:Gross–Zagier_theorem
gptkb:Peter_Swinnerton-Dyer gptkb:B._J._Birch gptkb:Tate–Shafarevich_group gptkb:Sir_Peter_Swinnerton-Dyer gptkb:Millennium_Prize_Problems |
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
Birch and Swinnerton-Dyer conjecture
|