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math.CV2019
Extremal problems for polynomials with real roots
Arturas Dubickas, Igor Pritsker
We consider polynomials of degree with only real roots and a fixed value of discriminant, and study the problem of minimizing the absolute value of polynomials at a fixed point…
math.CV2019
Weighted Fekete points on the real line and the unit circle
Arturas Dubickas, Igor Pritsker
Weighted Fekete points are defined as those that maximize the weighted version of the Vandermonde determinant over a fixed set. They can also be viewed as the equilibrium distribut…