-
Louis Joel
Mordell (28
January 1888 – 12
March 1972) was an American-born
British mathematician,
known for
pioneering research in
number theory. He was...
- many
rational points. This was
conjectured in 1922 by
Louis Mordell, and
known as the
Mordell conjecture until its 1983
proof by Gerd Faltings. The conjecture...
- In mathematics, the
Mordell–Weil
theorem states that for an
abelian variety A {\displaystyle A} over a
number field K {\displaystyle K} , the
group A...
- In mathematics, the Chowla–
Mordell theorem is a
result in
number theory determining cases where a
Gauss sum is the
square root of a
prime number, multiplied...
- In
Euclidean geometry, the Erdős–
Mordell inequality states that for any
triangle ABC and
point P
inside ABC, the sum of the
distances from P to the sides...
-
Mordell curve is an
elliptic curve of the form y2 = x3 + n,
where n is a
fixed non-zero integer.
These curves were
closely studied by
Louis Mordell,...
- In
arithmetic geometry, the
Mordell–Weil
group is an
abelian group ****ociated to any
abelian variety A {\displaystyle A}
defined over a
number field K...
- sections[further
explanation needed]
provides a
basis (up to torsion) for the
Mordell–Weil
group of an
elliptic surface E → S,
where S is
isomorphic to the projective...
- {1}{2}}\zeta (a)\zeta (2a)} The
Mordell–Tornheim zeta function,
introduced by
Matsumoto (2003) who was
motivated by the
papers Mordell (1958) and
Tornheim (1950)...
-
unifying the
Mordell conjecture and Manin–Mumford
conjecture in an
abelian variety or
semiabelian variety.
Mordell–Weil
theorem The
Mordell–Weil theorem...