The complex zeros of random polynomials

Authors:
Larry A. Shepp and Robert J. Vanderbei

Journal:
Trans. Amer. Math. Soc. **347** (1995), 4365-4384

MSC:
Primary 30C15; Secondary 60G99

DOI:
https://doi.org/10.1090/S0002-9947-1995-1308023-8

MathSciNet review:
1308023

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Abstract | References | Similar Articles | Additional Information

Abstract: Mark Kac gave an explicit formula for the expectation of the number, , of zeros of a random polynomial,

*reals*. Here, are independent standard normal random variables. In fact, for each , he obtained an explicit intensity function for which

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DOI:
https://doi.org/10.1090/S0002-9947-1995-1308023-8

Article copyright:
© Copyright 1995
American Mathematical Society