List questions from multivariate-polynomial

52

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Existence of constrained pairs of elements in $\mathbb{C}[x,y,z]/(x^3,y^3,z^3)$ that multiply to zero

Published on 07 Dec 2023 - 5:50

112

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Where to find proof for the remainder formula of the interpolation in two variables

Published on 20 Feb 2024 - 17:55

34

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How to invert system of multivariable polynomial equations for dependent variables

Published on 22 Feb 2024 - 16:47

18

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Finding the real roots of a set of multivariate polynomial in an interval

Published on 23 Feb 2024 - 23:05

31

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Does a constant $C>0$ exist such that for $\forall\ p\in\mathbb{C}[z_1,z_2]$ we have: $\sup_{z\in rD^2}|p(z_1,z_2)|\le C\sup_{z\in D^2}|p(z_1,z_2)|$?

Published on 02 Mar 2024 - 22:07

549

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Solutions of quadratic equation with $n$ variables

Published on 04 Jun 2016 - 19:39

26

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Let $P$ $\in$ $\mathbb{F}_{p}[x,y]$, if $P$ does not have multiple factors then $P-1$ is irreducible.

Published on 22 Mar 2026 - 21:21

7.7k

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Number of coefficients of a multivariable polynomial

Published on 03 May 2013 - 9:39

527

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Companion matrices for multivariate polynomials?

Published on 31 May 2017 - 14:22

10k

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Can $A^2+B^2+C^2-2AB-2AC-2BC$ be a perfect square?

Published on 25 Mar 2026 - 9:27

10.1k

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How to prove $a^2 + b^2 + c^2 \ge ab + bc + ca$?

Published on 24 Mar 2026 - 20:25

12.3k

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Division algorithm for multivariate polynomials?

Published on 24 Mar 2026 - 1:43

251

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Determinant as a polynomial

Published on 02 Aug 2020 - 3:33

362

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Does there exist a bivariate polynomial that is positive exclusively in the 1st quadrant?

Published on 11 Aug 2020 - 0:03

99

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Finding Curve to Minimize Polynomial over Unit Cube

Published on 17 Aug 2020 - 15:19

List Question

Existence of constrained pairs of elements in $\mathbb{C}[x,y,z]/(x^3,y^3,z^3)$ that multiply to zero

Where to find proof for the remainder formula of the interpolation in two variables

How to invert system of multivariable polynomial equations for dependent variables

Finding the real roots of a set of multivariate polynomial in an interval

Does a constant $C>0$ exist such that for $\forall\ p\in\mathbb{C}[z_1,z_2]$ we have: $\sup_{z\in rD^2}|p(z_1,z_2)|\le C\sup_{z\in D^2}|p(z_1,z_2)|$?

Solutions of quadratic equation with $n$ variables

Let $P$ $\in$ $\mathbb{F}_{p}[x,y]$, if $P$ does not have multiple factors then $P-1$ is irreducible.

Number of coefficients of a multivariable polynomial

Companion matrices for multivariate polynomials?

Can $A^2+B^2+C^2-2AB-2AC-2BC$ be a perfect square?

How to prove $a^2 + b^2 + c^2 \ge ab + bc + ca$?

Division algorithm for multivariate polynomials?

Determinant as a polynomial

Does there exist a bivariate polynomial that is positive exclusively in the 1st quadrant?

Finding Curve to Minimize Polynomial over Unit Cube

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