The expected number of Real zeros of a Random Polynomial of degree is

(1) | |||

(2) |

As ,

(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.

© 1996-9

1999-05-26