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On the Number of Real Roots of a Random Algebraic Equation
Published online by Cambridge University Press: 24 October 2008
Abstract
Let Nn be the number of real roots of a random algebraic equation The coefficients ξν are independent random variables identically distributed with expectation zero; the variance and third absolute moment are finite and non-zero. It is proved that
where εν tends to zero, but εν log n tends to infinity. The measure of the exceptional set tends to zero as n tends to infinity.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 58 , Issue 3 , July 1962 , pp. 433 - 442
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- Copyright © Cambridge Philosophical Society 1962
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