Birch and Swinnerton-Dyer Conjecture
GPTKB entity
Statements (62)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:theorem
|
| gptkbp:designedBy |
gptkb:Bryan_Birch
gptkb:Peter_Swinnerton-Dyer |
| gptkbp:hasHistoricalSignificance |
true
|
| gptkbp:hasInventor |
cryptography
|
| gptkbp:hasRelatedPatent |
mathematics
|
| https://www.w3.org/2000/01/rdf-schema#label |
Birch and Swinnerton-Dyer Conjecture
|
| gptkbp:involves |
rational points
|
| gptkbp:isA |
hypothesis
|
| gptkbp:isAssociatedWith |
gptkb:Tate-Shafarevich_group
|
| gptkbp:isConnectedTo |
modular forms
analytic number theory number of rational points rank of elliptic curves the study of rational points on curves |
| gptkbp:isConsidered |
a fundamental question in mathematics
a central problem in mathematics a conjecture about elliptic curves a key problem in number theory one of the most important unsolved problems |
| gptkbp:isDiscussedIn |
conferences
mathematicians mathematical literature theoretical physicists academic circles mathematical seminars research mathematicians |
| gptkbp:isEngagedIn |
true
|
| gptkbp:isExploredIn |
algebraic geometry
research papers advanced mathematics courses mathematical journals mathematical research graduate studies |
| gptkbp:isFocusedOn |
Millennium Prize Problems
|
| gptkbp:isInfluencedBy |
modern mathematics
pure mathematics historical mathematical problems previous conjectures |
| gptkbp:isNamedAfter |
gptkb:Bryan_Birch
gptkb:Peter_Swinnerton-Dyer |
| gptkbp:isPartOf |
number theory
theoretical mathematics arithmetic geometry theoretical frameworks in mathematics the study of elliptic curves |
| gptkbp:isRelatedTo |
gptkb:Fermat's_Last_Theorem
Galois representations arithmetic of elliptic curves theory of elliptic curves Diophantine_equations Mordell_conjecture Selmer_groups |
| gptkbp:isStudiedIn |
number theory courses
|
| gptkbp:issues |
elliptic curves
|
| gptkbp:isTrainedIn |
theoretical models
computational methods numerical experiments empirical data mathematical software |
| gptkbp:isUtilizedIn |
1960s
|
| gptkbp:relatedTo |
L-functions
|