Open Problem Garden
Help
About
Contact
login/create account
Home
»
Subject
»
Number Theory
Birch & Swinnerton-Dyer conjecture
Importance:
Outstanding ✭✭✭✭
Author(s):
Subject:
Number Theory
Keywords:
Recomm. for undergrads:
no
Prize:
$1,000,000
Posted
by:
eyoong
on:
May 12th, 2012
Conjecture
Let
be an elliptic curve over a number field
. Then the order of the zeros of its
-function,
, at
is the Mordell-Weil rank of
.
Bibliography
* indicates original appearance(s) of problem.
add new comment
Navigate
Subject
Algebra
(7)
Analysis
(5)
Combinatorics
(35)
Geometry
(29)
Graph Theory
(227)
Group Theory
(5)
Logic
(10)
Number Theory
(48)
Additive N.T.
(3)
Analytic N.T.
(10)
Combinatorial N.T.
(12)
Computational N.T.
(5)
PDEs
(0)
Probability
(1)
Theoretical Comp. Sci.
(13)
Topology
(40)
Unsorted
(1)
Author index
Keyword index
more
Recent Activity
KPZ Universality Conjecture
3-Edge-Coloring Conjecture
Several ways to apply a (multivalued) multiargument function to a family of filters
Jones' conjecture
Multicolour Erdős--Hajnal Conjecture
more