Birch and Swinnerton-Dyer conjecture
GPTKB entity
Statements (38)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:theorem
|
| gptkbp:associated_with |
gptkb:Frey's_elliptic_curve
|
| gptkbp:designedBy |
1960s
relationship between rank and L-function |
| gptkbp:has_a_focus_on |
current mathematical research
|
| gptkbp:has_implications_for |
cryptography
|
| gptkbp:hasPrograms |
theoretical physics
|
| https://www.w3.org/2000/01/rdf-schema#label |
Birch and Swinnerton-Dyer conjecture
|
| gptkbp:involves |
Elliptic curves
|
| gptkbp:is_a_dish_that |
is often discussed in seminars
has implications for number theory is considered one of the most important in mathematics has been a subject of extensive study has been influential in the field has connections to other areas of mathematics has inspired many mathematicians has not been proven in general involves deep mathematical concepts is still open for many cases relates to the distribution of prime numbers the number of rational solutions |
| gptkbp:is_a_subject_of |
mathematical research
|
| gptkbp:is_essential_for |
arithmetic geometry
understanding elliptic curves |
| gptkbp:is_known_for |
specific cases
|
| gptkbp:is_linked_to |
Galois representations
|
| gptkbp:is_part_of |
number theory
Clay Millennium Prize Problems |
| gptkbp:is_studied_in |
algebraic geometry
|
| gptkbp:is_used_in |
mathematical literature
|
| gptkbp:isConnectedTo |
the_Langlands_program
Heights_on_elliptic_curves |
| gptkbp:issues |
rational points on elliptic curves
|
| gptkbp:previousName |
gptkb:Bryan_Birch
gptkb:Peter_Swinnerton-Dyer |
| gptkbp:related_to |
modular forms
zeta functions Mordell-Weil_theorem |