If $p(z)\in \mathbb{C}[z]$ is a monic polynomial of degree $n$ then is the length of the curve $\{z\in \mathbb{C}:|p(z)|=1\}$ maximised when $p(z)=z^n-1$?

gpt-erdos · GPT-5.2 Pro + Deep Research · unverified

This is a well known conjecture (Erdős–Herzog–Piranian).

llm-hunter · gpt pro 5.2 · unverified

1 LLM attack(s) recorded (gpt pro 5.2); unverified.