Random polynomials having few or no real zeros
نویسندگان
چکیده
منابع مشابه
Random polynomials having few or no real zeros
Consider a polynomial of large degree n whose coefficients are independent, identically distributed, non-degenerate random variables having zero mean and finite moments of all orders. We show that such a polynomial has exactly k real zeros with probability n−b+o(1) as n → ∞ through integers of the same parity as the fixed integer k ≥ 0. In particular, the probability that a random polynomial of...
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 2002
ISSN: 0894-0347,1088-6834
DOI: 10.1090/s0894-0347-02-00386-7