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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 320, Pages 69–79 (Mi znsl596)  
This article is cited in 10 scientific papers (total in 10 papers)

On distribution of the number of real zeros of a random polynomial

D. N. Zaporozhets

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (163 kB) Citations (10)
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Abstract: In this note we find the distibution of the number of real zeros of a random polynomial. Also we derive the formula for the expected number of complex zeros lying in the specified domain of the complex plain.
Received: 02.12.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 137, Issue 1, Pages 4525–4530
DOI: https://doi.org/10.1007/s10958-006-0245-0
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: D. N. Zaporozhets, “On distribution of the number of real zeros of a random polynomial”, Probability and statistics. Part 8, Zap. Nauchn. Sem. POMI, 320, POMI, St. Petersburg, 2004, 69–79; J. Math. Sci. (N. Y.), 137:1 (2006), 4525–4530
Citation in format AMSBIB
\Bibitem{Zap04}
\by D.~N.~Zaporozhets
\paper On distribution of the number of real zeros of a~random polynomial
\inbook Probability and statistics. Part~8
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 320
\pages 69--79
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl596}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2115866}
\zmath{https://zbmath.org/?q=an:1080.30003}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 137
\issue 1
\pages 4525--4530
\crossref{https://doi.org/10.1007/s10958-006-0245-0}
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  • https://www.mathnet.ru/eng/znsl/v320/p69
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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