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Herald of Omsk University
Article . 2012
Data sources: CyberLeninka - Russian open access scientific library
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Асимптотическая плотность многочленов с коэффициентами в конечном ассоциативном коммутативном кольце с единицей, имеющих корень в данном кольце

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2012 Russian Publisher:Федеральное государственное бюджетное образовательное учреждение высшего образования «Омский государственный университет им. Ф.М. Достоевского»Journal:Вестник Омского университета (issn: 1812-3996, Copyright policy )

Асимптотическая плотность многочленов с коэффициентами в конечном ассоциативном коммутативном кольце с единицей, имеющих корень в данном кольце

Abstract

In the article the formula for counting the number of polynomials with coefficients in a finite associative commutative ring with unit (one), having a root in present ringis presented. The asymptotic density of such polynomials is calculated.

Представлена формула для подсчета количества многочленов с коэффициентами в конечном ассоциативном коммутативном кольце с единицей, имеющих корень в данном кольце. Подсчитана асимптотическая плотность таких многочленов.

Keywords

АСИМПТОТИЧЕСКАЯ ПЛОТНОСТЬ МНОГОЧЛЕНОВ

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
bronze