On the Number of Real Roots of a Random Algebraic Equation
1962 ◽
Vol 58
(3)
◽
pp. 433-442
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Keyword(s):
ABSTRACTLet 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 thatwhere 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.
1983 ◽
Vol 35
(1)
◽
pp. 18-27
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1993 ◽
Vol 54
(1)
◽
pp. 86-96
2007 ◽
Vol 2007
◽
pp. 1-8
Keyword(s):
1968 ◽
Vol 64
(2)
◽
pp. 485-488
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1992 ◽
Vol 112
(3)
◽
pp. 613-629
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1973 ◽
Vol 39
(1)
◽
pp. 184-184
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Keyword(s):
1972 ◽
Vol 36
(2)
◽
pp. 557-557
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Keyword(s):
1963 ◽
Vol 59
(2)
◽
pp. 411-416