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Teoriya Veroyatnostei i ee Primeneniya, 2005, Volume 50, Issue 3, Pages 549–555
DOI: https://doi.org/10.4213/tvp94 (Mi tvp94) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Short Communications

An example of a random polynomial with unusual behavior of roots

D. N. Zaporozhets

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (649 kB) Citations (6)
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DOI: https://doi.org/10.4213/tvp94
Abstract: This paper constructs an example of random polynomials of order $n=1,2,\dots$ 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 $n\to\infty$.
Keywords: random polynomials, average number of real zeros.
Received: 12.04.2005
English version:
Theory of Probability and its Applications, 2006, Volume 50, Issue 3, Pages 529–535
DOI: https://doi.org/10.1137/S0040585X97981871
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. N. Zaporozhets, “An example of a random polynomial with unusual behavior of roots”, Teor. Veroyatnost. i Primenen., 50:3 (2005), 549–555; Theory Probab. Appl., 50:3 (2006), 529–535
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tvp/v50/i3/p549
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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