Birch and Swinnerton-Dyer Conjecture

GPTKB entity

Statements (62)
Predicate Object
gptkbp:instance_of gptkb:Mathematics
gptkbp:challenges mathematical researchers
gptkbp:has_applications_in gptkb:Physics
gptkbp:has_implications_for gptkb:crypt
https://www.w3.org/2000/01/rdf-schema#label Birch and Swinnerton-Dyer Conjecture
gptkbp:is_achallenge_in gptkb:Mathematics
gptkbp:is_analyzed_in gptkb:academic_journals
research papers
computational methods
gptkbp:is_associated_with rational points
gptkbp:is_connected_to modular arithmetic
modular forms
Galois representations
arithmetic of elliptic curves
rank of elliptic curves
elliptic curve theory
gptkbp:is_considered research studies
a significant problem
a central topic
a key conjecture
one of the important unsolved problems
gptkbp:is_discussed_in conferences
academic papers
mathematical literature
mathematical seminars
mathematical communities
gptkbp:is_displayed_in gptkb:Millennium_Prize_Problems
gptkbp:is_examined_in mathematical conferences
theoretical mathematicians
gptkbp:is_explored_in gptkb:Mathematician
gptkb:textbooks
theoretical frameworks
seminars
graduate courses
academic discussions
numerical experiments
research mathematicians
gptkbp:is_influenced_by class field theory
gptkbp:is_influential_in gptkb:Mathematics
gptkbp:is_part_of number theory
modern mathematics
arithmetic geometry
gptkbp:is_related_to gptkb:Tate-Shafarevich_group
gptkb:Diophantine_equations
gptkb:Fermat's_Last_Theorem
analytic number theory
rational solutions
Selmer groups
Mordell conjecture
gptkbp:is_studied_in algebraic geometry
advanced mathematics
number theory research
gptkbp:is_unproven gptkb:true
gptkbp:issues gptkb:crypt
gptkbp:named_after gptkb:Bryan_Birch
gptkb:Peter_Swinnerton-Dyer
gptkbp:proposed_by gptkb:Bryan_Birch
gptkb:Peter_Swinnerton-Dyer
1960s
gptkbp:related_to L-functions
gptkbp:bfsParent gptkb:Millennium_Prize_Problems
gptkbp:bfsLayer 6