This paper constructs an example of random polynomials of order n = 1,2, ... with independent identically distributed coefficients whose average number of real zeros is less than nine for all n. The average number n/2 + o(1) of complex zeros is concentrated near zero and the same number goes to infinity as n → ∞.
Original languageEnglish
Pages (from-to)529-535
Number of pages7
JournalTheory of Probability and its Applications
Volume50
Issue number3
DOIs
StatePublished - 25 Oct 2006

    Research areas

  • Average number of real zeros, Random polynomials

ID: 126290465