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Diskretnaya Matematika, 2016, Volume 28, Issue 2, Pages 27–43
DOI: https://doi.org/10.4213/dm1366 (Mi dm1366) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Estimating the number of solutions of systems of nonlinear equations with linear recurring arguments by the spectral method

O. V. Kamlovskii

LLC "Certification Research Center", Moscow
Full-text PDF (495 kB) Citations (11)
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DOI: https://doi.org/10.4213/dm1366
Abstract: A general approach is proposed for obtaining estimates of the number of solutions of systems of nonlinear equations. Final estimates are established in the case when the arguments of functions in the system are the signs of linear recurrent sequences over Galois rings.
Keywords: linear recurrent sequences, system of nonlinear equations, Galois rings, spectral method, cross-correlation coefficients.
Received: 07.08.2015
English version:
Discrete Mathematics and Applications, 2017, Volume 27, Issue 4, Pages 199–211
DOI: https://doi.org/10.1515/dma-2017-0022
Bibliographic databases:
Document Type: Article
UDC: 512.547+512.552
Language: Russian
Citation: O. V. Kamlovskii, “Estimating the number of solutions of systems of nonlinear equations with linear recurring arguments by the spectral method”, Diskr. Mat., 28:2 (2016), 27–43; Discrete Math. Appl., 27:4 (2017), 199–211
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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