 9764 Bleher P., Di X.
 Correlations Between Zeros of a Random Polynomial
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Feb 11, 97

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Abstract. We obtain exact analytical expressions for correlations between real
zeros of the Kac random polynomial. We show that the zeros in the
interval $(1,1)$ are asymptotically independent of the zeros outside
of this interval, and that the straightened zeros have the same limit
translation invariant correlations. Then we calculate the correlations
between the straightened zeros of the O(1) random polynomial.
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