The expected number of Real zeros of a Random Polynomial of degree is
(1) | |||
(2) |
(3) |
(4) |
References
Edelman, A. and Kostlan, E. ``How Many Zeros of a Random Polynomial are Real?'' Bull. Amer. Math. Soc. 32, 1-37, 1995.
Kac, M. ``On the Average Number of Real Roots of a Random Algebraic Equation.'' Bull. Amer. Math. Soc. 49, 314-320, 1943.
Kac, M. ``A Correction to `On the Average Number of Real Roots of a Random Algebraic Equation'.'' Bull. Amer. Math. Soc.
49, 938, 1943.