论文信息 - A note on the complex roots of complex random polynomials

A note on the complex roots of complex random polynomials

Abstract By using the technique proposed in Ibragimov and Zeitouni, [(1997), Trans. Amer. Math. Soc. 349, 2427–2441], we derive an exact formula for the mean number of complex roots of a complex random polynomial. The explicit evaluation of the average density is obtained in the case of multivariate normal coefficients and its correspondence with the early Hammersley result is shown.

Alessandro Ramponi

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