Analytic theory of polynomials

TL;DR: In this article, a lower bound on distortion of cross ratio of four points under the mapping effected by a complex polynomial with restricted critical values was established, and an exact lower bound for maximal moduli of critical values of polynomials of degree n was established.

TL;DR: In this paper , a curved ribbon is embedded inside a ruled surface and can be intersected by solving a quadratic equation, which is the first ray tracing primitive that possesses all such properties simultaneously.

TL;DR: For every χ[−1, 1] and every real algebraic polynomial f of degree n such that | f ( t ): ⩽ 1 on [− 1, 1], the following inequality takes place on the complex plane as discussed by the authors.