List questions from polynomials

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Symmetric polynomial written in elementary polynomials

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Roots of a complex equation

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for $x,y,z\ge 0$, $x+y+z=2$, prove $\frac{x}{1+y^2}+\frac{y}{1+z^2}+\frac{z}{1+x^2}\ge\frac{18}{13}$

Published on 19 Mar 2026 - 19:59

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Turn polynomial into another form by using synthetic division

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Discriminant of $X^n+pX+q$

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Is there an easy way to reverse engineer a function?

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discriminant as a product of pairwise differences of roots

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Solving for 4 variables using only 2 equations

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Finding the quotient and the remainder in $\mathbb{Z}_5[x]$

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Calculating a value in $\mathbb{Z^3}[x]$

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Rank of a Polynomial function over Finite Fields

Published on 24 Mar 2026 - 14:25

44

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For $f \in \mathbb{Z}[x]$ , $\deg(\gcd_{\mathbb{Z}_q}(f, x^p - 1)) \geq \deg(\gcd_{\mathbb{Q}}(f, x^p - 1))$

Published on 18 Mar 2026 - 2:17

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The Heegner Polynomials

Published on 22 Mar 2026 - 0:44

List Question

Codimension of intersection of zero sets of polynomials.

Symmetric polynomial written in elementary polynomials

Roots of a complex equation

for $x,y,z\ge 0$, $x+y+z=2$, prove $\frac{x}{1+y^2}+\frac{y}{1+z^2}+\frac{z}{1+x^2}\ge\frac{18}{13}$

Turn polynomial into another form by using synthetic division

Discriminant of $X^n+pX+q$

Is there an easy way to reverse engineer a function?

discriminant as a product of pairwise differences of roots

Solving for 4 variables using only 2 equations

Finding the quotient and the remainder in $\mathbb{Z}_5[x]$

Smooth function with $f^{(n)}=0$ is polynomial

Calculating a value in $\mathbb{Z^3}[x]$

Rank of a Polynomial function over Finite Fields

For $f \in \mathbb{Z}[x]$ , $\deg(\gcd_{\mathbb{Z}_q}(f, x^p - 1)) \geq \deg(\gcd_{\mathbb{Q}}(f, x^p - 1))$

The Heegner Polynomials

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