NumberFieldDiscriminant

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Discriminant of the number field generated by an algebraic number

Forms

NumberFieldDiscriminant[a]

Verified examplesNumberFieldDiscriminant[Sqrt[3 + Sqrt[2]]] → 7168 NumberFieldDiscriminant[Root[2# ^ 3 - # + 1&, 2]] → -4 Select[Divisors[NumberFieldDiscriminant[2 ^ (1 / 3)]], PrimeQ] → {2, 3}

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Topics

Algebraic Number Theory - Algebraic Number Fields
New In60 Algebraic Computing - New in Algebraic Number Theory »
New In60 Alphabetical Listing - N
New In60 Mathematics And Algorithms - New in Number Theory & Integer Functions »
New In60 Number Theory And Integer Functions - New in Algebraic Number Theory »
Number Theoretic Functions - Algebraic Number Theory »

Related

NumberFieldIntegralBasis NumberFieldClassNumber AlgebraicNumberTrace NumberFieldSignature NumberFieldRegulator AlgebraicNumberNorm MinimalPolynomial NextPrime RootApproximant BellB BitSet BitShiftLeft

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