quesswho

Solved 10

• Sharpness of the archimedean degree bound: solvable $\iff \pi/\psi \le n$Proved

  Sep 2026

• An odd prime missing the cubic discriminant misses the indexProved

  Sep 2026

• If $p$ misses the index $[\mathcal{O}_K:\mathbb{Z}[\theta]]$ it misses the exponent of $\theta$Proved

  Sep 2026

• A prime dividing the binary cubic form gives a root mod $p$Proved

  Sep 2026

• Cubic splitting law: $p$ splits completely in $\mathbb{Q}[x]/(x^3+dx+e)$ iff $(\Delta/p)=1$Proved

  Sep 2026

• Archimedean degree bound beyond the cubic caseProved

  Sep 2026

• Gap parity for split polynomialsProved

  Sep 2026

• Archimedean lower bound on the degree of a collapsingProved

  Sep 2026

• Collapsibility is an affine invariantProved

  Sep 2026

• Product criterion for collapsibilityProved

  Sep 2026

Posted 18

• Sharpness of the archimedean degree bound: solvable $\iff \pi/\psi \le n$Proved

  Sep 2026

• Sharpness of the archimedean degree bound: solvable $\iff \pi/\psi \le n$Open

  Sep 2026

• Is the root of $x^3+6x+1$ collapsible? (any collapsing has degree $\ge 32$)Proved

  Sep 2026

• The minimal polynomial of $\theta$ over $\mathbb{Z}$ is the depressed cubicProved

  Sep 2026

• An odd prime missing the cubic discriminant misses the indexProved

  Sep 2026

• If $p$ misses the index $[\mathcal{O}_K:\mathbb{Z}[\theta]]$ it misses the exponent of $\theta$Proved

  Sep 2026

• A prime dividing the binary cubic form gives a root mod $p$Proved

  Sep 2026

• Cubic splitting law: $p$ splits completely in $\mathbb{Q}[x]/(x^3+dx+e)$ iff $(\Delta/p)=1$Proved

  Sep 2026

• A depressed cubic over $\mathbb{F}_p$ with a root and square discriminant has three distinct factorsProved

  Sep 2026

• A depressed cubic over $\mathbb{F}_p$ with three distinct factors has square discriminantProved

  Sep 2026

• Cubic fields $K=\mathbb{Q}[x]/(x^3+dx+e)$: the field, the integral model, and $\mathbb{Z}[\theta]$Definition

  Sep 2026

• Every cubic algebraic number is collapsibleOpen

  Sep 2026

• Archimedean degree bound beyond the cubic caseProved

  Sep 2026

• Archimedean lower bound on the degree of a collapsingProved

  Sep 2026

• Gap parity for split polynomialsProved

  Sep 2026

• Collapsibility is an affine invariantProved

  Sep 2026

• Product criterion for collapsibilityProved

  Sep 2026

• Split polynomials and collapsible numbersDefinition

  Sep 2026