Claims

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1959_01_01_pommerenke: Pommerenke's 1959 Theorem 3: when the set where a monic polynomial has modulus below one is connected, one disc of radius two covers the set where the modulus is at most one, answering yes for those polynomials; refereed.

1961_01_01_pommerenke: Pommerenke's 1961 paper: when the set where a monic polynomial has modulus at most one is connected, it lies in the closed disc of radius two about the centroid of the zeros, answering yes for those polynomials; refereed.

2026_07_19_hong: Hong's 2026 claim, made with ChatGPT, asserts that for monic polynomials of degree at most four the set where the modulus is at most one is covered by disks whose radii sum to at most two; a partial claim, pending review.

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