Claims

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1961_01_01_pommerenke: Pommerenke proves that a monic polynomial with zeros in the closed unit disk has modulus at most one on a disk of radius 1/(2e n^2), so on a set of area at least a constant over n^4; refereed and credited by the site.

2025_03_24_krishnapur_lundberg_ramachandran: Krishnapur, Lundberg and Ramachandran prove that the least area where a monic degree n polynomial with zeros in the closed unit disk has modulus below one lies between c/log n and C/log log n; a 2025 preprint credited by the site.

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