The paper defines and exactly computes threshold parameters il(p) and cn(p) governing circle-rootedness and interlacing with roots of unity, and constructs families where il/cn grows without bound.
Palindromic and per- turbed polynomials: zeros location
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Dragging the roots of a polynomial to the unit circle
The paper defines and exactly computes threshold parameters il(p) and cn(p) governing circle-rootedness and interlacing with roots of unity, and constructs families where il/cn grows without bound.