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. This theorem is a consequence of the estimate for the discriminant | d K | ≥ n n n !

Source: Wikipedia — Hermite–Minkowski theorem (CC BY-SA 4.0)

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. This theorem is a consequence of the estimate for the discriminant | d K | ≥ n n n !

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Source: Wikipedia "Hermite–Minkowski theorem" · CC BY-SA 4.0

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