Zeros of a growing number of derivatives of random polynomials with independent roots
Zeros of a growing number of derivatives of random polynomials with independent roots
Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper X 1 comma upper X 2 comma ellipsis"> <mml:semantics> <mml:mrow> <mml:msub> <mml:mi>X</mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:mo>,</mml:mo> <mml:msub> <mml:mi>X</mml:mi> <mml:mn>2</mml:mn> </mml:msub> <mml:mo>,</mml:mo> <mml:mo>…</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">X_1,X_2,\ldots</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be independent and identically distributed random variables in <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="double-struck upper C"> <mml:semantics> <mml:mrow …