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Hermite–Minkowski theorem
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Hermite–Minkowski theorem
In mathematics, especially in
algebraic number theory
, the
Hermite–Minkowski theorem
states that for any integer
N
there are only finitely many
number fields
, i.e., finite
field extensions
K
of the rational numbers
Q
, such that the
discriminant
of
K
/
Q
is at most
N
. The theorem is named after
Charles Hermite
and
Hermann Minkowski
.
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