Erdős Problem 114: maximize length of curve of modulus one curve.

### What is the conjecture

https://www.erdosproblems.com/114

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

Status: open

### Prerequisites needed
Not so clear how to get the length of the curve here.

### Choose either option
- [ ] I plan on working on this conjecture
- [x] This issue is up for grabs: I would like to see this conjecture added by somebody else