Erdős problem 1048 · problems.science

If $f\in \mathbb{C}[x]$ is a monic polynomial with all roots satisfying $\lvert z\rvert \leq r$ for some $r<2$ , then must $\{ z: \lvert f(z)\rvert <1\}$ have a connected component with diameter $>2-r$ ?

Workspace

Continue locally Open source Sign in to contribute

Open this exact Problem, source revision, and authority Repository in Workbench. This handoff does not clone, switch, upload, or execute anything.

Canvas

public preview

Source#1048
→
ResultNone
→
Checks0

Reported activity

Work these sources record against this Problem. Source-reported attribution, not reviewed here.

AI building on literature
Erdős AI contributions wiki · 28 Jan, 2026
Machine
Aristotle
Open the source record
Formalization
Erdős AI contributions wiki · 27 Jan, 2026
Machine
Aristotle
Open the source record

Reported activity

Search problems.science