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Diskretnaya Matematika, 2015, Volume 27, Issue 4, Pages 150–157
DOI: https://doi.org/10.4213/dm1354 (Mi dm1354) 		 
This article is cited in 7 scientific papers (total in 7 papers)

An approach to the transformation of periodic sequences

V. G. Chirskiia, A. Yu. Nesterenkob

a Lomonosov Moscow State University
b National Research University "Higher School of Economics" (HSE), Moscow
Full-text PDF (402 kB) Citations (7)
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DOI: https://doi.org/10.4213/dm1354
Abstract: We consider a periodic sequence $\{c_k\}_{k=0}^\infty$ and investigate a numerical properties of an irrational number $\alpha = \sum_{k=0}^\infty \frac{c_k}{k!}$. As an application of our results we present a simple transformation of periodic sequence $\{c_k\}_{k=0}^\infty$ into aperiodic sequence.
Keywords: irrationality, Ziegel – Shidlovskii method, linear independency measure, aperiodic sequence.
Received: 24.06.2015
English version:
Discrete Mathematics and Applications, 2017, Volume 27, Issue 1, Pages 1–6
DOI: https://doi.org/10.1515/dma-2017-0001
Bibliographic databases:
Document Type: Article
UDC: 511.3
Language: Russian
Citation: V. G. Chirskii, A. Yu. Nesterenko, “An approach to the transformation of periodic sequences”, Diskr. Mat., 27:4 (2015), 150–157; Discrete Math. Appl., 27:1 (2017), 1–6
Citation in format AMSBIB
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\by V.~G.~Chirskii, A.~Yu.~Nesterenko
\paper An approach to the transformation of periodic sequences
\jour Diskr. Mat.
\yr 2015
\vol 27
\issue 4
\pages 150--157
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\crossref{https://doi.org/10.4213/dm1354}
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\elib{https://elibrary.ru/item.asp?id=24849947}
\transl
\jour Discrete Math. Appl.
\yr 2017
\vol 27
\issue 1
\pages 1--6
\crossref{https://doi.org/10.1515/dma-2017-0001}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000403470400001}
Linking options:
  • https://www.mathnet.ru/eng/dm1354
  • https://doi.org/10.4213/dm1354
  • https://www.mathnet.ru/eng/dm/v27/i4/p150
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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    Abstract page:466
    Full-text PDF :168
    References:51
    First page:38
     
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