Kac Formula

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.

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