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Izvestiya: Mathematics, 2017, Volume 81, Issue 2, Pages 444–461
DOI: https://doi.org/10.1070/IM8421 (Mi im8421) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Arithmetic properties of polyadic series with periodic coefficients

V. G. Chirskii

Lomonosov Moscow State University
English version PDF (301 kB) Citations (19) Russian version article
References:
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DOI: https://doi.org/10.1070/IM8421
Abstract: We study arithmetic properties of polyadic numbers, that is, series of the form
$$ \sum_{n=0}^\infty a_n n!, $$
where the numbers $a_n\in\mathbb Z$ form a periodic sequence $\{a_n\}$.
Keywords: periodic sequence, transcendence, polyadic numbers.
Received: 26.06.2015
Revised: 27.02.2016
Bibliographic databases:
Document Type: Article
UDC: 511.36
MSC: Primary 11J91; Secondary 11J61
Language: English
Original paper language: Russian
Citation: V. G. Chirskii, “Arithmetic properties of polyadic series with periodic coefficients”, Izv. Math., 81:2 (2017), 444–461
Citation in format AMSBIB
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\by V.~G.~Chirskii
\paper Arithmetic properties of polyadic series with periodic coefficients
\jour Izv. Math.
\yr 2017
\vol 81
\issue 2
\pages 444--461
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  • https://www.mathnet.ru/eng/im/v81/i2/p215
    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:534
    Russian version PDF:86
    English version PDF:24
    References:68
    First page:30
     
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