List questions from discriminant

Published on 16 Aug 2022 - 23:49

81

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Why do we need to include the factor $a_{n}^{2n-2}$ in the discriminant of a polynomial?

Published on 22 Aug 2022 - 20:41

97

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Finding Lattice points on a Cubic

Published on 23 Aug 2022 - 20:42

112

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Equation has two distinct solutions

Published on 24 Aug 2022 - 6:22

97

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Does a discriminant condition on $f(x,y)$ imply that $f$ is weighted homogeneous?

Published on 25 Mar 2026 - 11:21

56

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Extracting the leading coefficient of a discriminant

Published on 12 Oct 2022 - 15:07

132

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Can we make the inequality $A-B \leq \frac{A^2}{4}$ strict?

Published on 21 Oct 2022 - 9:19

68

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Trace of norm ideal

Published on 03 Nov 2022 - 14:29

319

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Do real quadratic number fields with prime discriminants have odd class numbers?

Published on 10 Nov 2022 - 17:03

90

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Sign of fundamental unit in real quadratic number fields with 1 mod 4 discriminant factors

Published on 26 Mar 2026 - 14:34

117

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Discriminant of $R^2 \rightarrow R^2$ map

Published on 14 Nov 2022 - 10:22

319

Views

Why is a field extension separable if and only if the discriminant of the basis of the field extension is nonzero?

Published on 24 Feb 2026 - 0:51

75

Views

If a hidden quadratic has no real roots, does that mean that the equation it represents also has no real roots?

Published on 28 Nov 2022 - 21:33

66

Views

Proving a discriminant function. Finding boundary of classification.

Published on 21 Dec 2022 - 13:14

102

Views

Theorem of Hecke on the discriminant of a quadratic field extension

Published on 26 Dec 2022 - 19:07

List Question

Discriminant of $f(x^n)$

Why do we need to include the factor $a_{n}^{2n-2}$ in the discriminant of a polynomial?

Finding Lattice points on a Cubic

Equation has two distinct solutions

Does a discriminant condition on $f(x,y)$ imply that $f$ is weighted homogeneous?

Extracting the leading coefficient of a discriminant

Can we make the inequality $A-B \leq \frac{A^2}{4}$ strict?

Trace of norm ideal

Do real quadratic number fields with prime discriminants have odd class numbers?

Sign of fundamental unit in real quadratic number fields with 1 mod 4 discriminant factors

Discriminant of $R^2 \rightarrow R^2$ map

Why is a field extension separable if and only if the discriminant of the basis of the field extension is nonzero?

If a hidden quadratic has no real roots, does that mean that the equation it represents also has no real roots?

Proving a discriminant function. Finding boundary of classification.

Theorem of Hecke on the discriminant of a quadratic field extension

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