For $f(z) = \prod_{i=1}^n (z - z_i)$ with all $|z_i| \le 1$, let $\rho(f)$ be the radius of the largest disc contained in $\{z : |f(z)| < 1\}$. Is $\rho(f) \gg 1/n$? The worst case is now known to be $\Theta(1/n)$, with the explicit bound $\rho(f) \ge (\log 2)/n$.

How a contribution reaches this record

Seven steps, in four places.

1. 1

   Read the sources and their formal declarations.

   Public
2. 2

   Work on it, wherever you work.

   Your machine
3. 3

   Keep an Approach and its Attempts here.

   Needs an account
4. 4

   Attach evidence by its content root.

   Needs an account
5. 5

   Prepare an unsigned Submission draft.

   Needs an account
6. 6

   Sign it with your own key.

   Your machine
7. 7

   The Repository decides.

   The Repository