Keywords

#conductor-discriminant_formula

Conductor-discriminant formula

In mathematics, the conductor-discriminant formula or Führerdiskriminantenproduktformel, introduced by Hasse for abelian extensions and by Artin for Galois extensions, is a formula calculating the relative discriminant of a finite Galois extension of local or global fields from the Artin conductors of the irreducible characters of the Galois group .

Fri 6th

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Conductor-discriminant formula Discriminant of an algebraic number field Quadratic field Conductor of an elliptic curve Artin conductor Class number formula Explicit formulae for L-functions Helmut Hasse Cubic field Elliptic curve
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