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Distance bound for homogeneous polynomials with roots on the unit circle
Distance-to-discriminant conjecture. One has
Conjectureopendistance-to-discriminant homogeneous-polynomials real-algebraic-geometryarXiv posted 2 days ago
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Global maximality of regularly spaced roots for distance to the discriminant
Regularly spaced roots conjecture. The polynomial of degree $d$ with $2d$ regularly spaced roots on the unit circle is a global maximum of the distance to the discriminant among po…
Conjectureopendistance-to-discriminant homogeneous-polynomials real-algebraic-geometryarXiv posted 2 days ago

Distance bound for homogeneous polynomials with roots on the unit circle