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An example of a random polynomial with unusual zeros behavior. / Zaporozhets, D. N.

в: Theory of Probability and its Applications, Том 50, № 3, 25.10.2006, стр. 529-535.

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Harvard

Zaporozhets, DN 2006, 'An example of a random polynomial with unusual zeros behavior', Theory of Probability and its Applications, Том. 50, № 3, стр. 529-535. https://doi.org/10.1137/S0040585X97981871

APA

Zaporozhets, D. N. (2006). An example of a random polynomial with unusual zeros behavior. Theory of Probability and its Applications, 50(3), 529-535. https://doi.org/10.1137/S0040585X97981871

Vancouver

Zaporozhets DN. An example of a random polynomial with unusual zeros behavior. Theory of Probability and its Applications. 2006 Окт. 25;50(3):529-535. https://doi.org/10.1137/S0040585X97981871

Author

Zaporozhets, D. N. / An example of a random polynomial with unusual zeros behavior. в: Theory of Probability and its Applications. 2006 ; Том 50, № 3. стр. 529-535.

BibTeX

@article{7497615354c94ea18754a310f8b582b4,
title = "An example of a random polynomial with unusual zeros behavior",
abstract = "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 → ∞.",
keywords = "Average number of real zeros, Random polynomials",
author = "Zaporozhets, {D. N.}",
year = "2006",
month = oct,
day = "25",
doi = "10.1137/S0040585X97981871",
language = "English",
volume = "50",
pages = "529--535",
journal = "Theory of Probability and its Applications",
issn = "0040-585X",
publisher = "Society for Industrial and Applied Mathematics",
number = "3",

}

RIS

TY - JOUR

T1 - An example of a random polynomial with unusual zeros behavior

AU - Zaporozhets, D. N.

PY - 2006/10/25

Y1 - 2006/10/25

N2 - 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 → ∞.

AB - 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 → ∞.

KW - Average number of real zeros

KW - Random polynomials

UR - http://www.scopus.com/inward/record.url?scp=33750168582&partnerID=8YFLogxK

U2 - 10.1137/S0040585X97981871

DO - 10.1137/S0040585X97981871

M3 - Article

AN - SCOPUS:33750168582

VL - 50

SP - 529

EP - 535

JO - Theory of Probability and its Applications

JF - Theory of Probability and its Applications

SN - 0040-585X

IS - 3

ER -

ID: 126290465