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The zeros of random polynomials cluster uniformly near the unit circle

Compositio Mathematica, no. 03 (2008)

Cited by: 83|Views1

Abstract

In this paper we deduce a universal result about the asymptotic distribution of roots of random polynomials, which can be seen as a complement to an old and famous result of Erdos and Turan. More precisely, given a sequence of random polynomials, we show that, under some very general conditions, the roots tend to cluster near the unit cir...More

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