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Izvestiya: Mathematics, 2016, Volume 80, Issue 3, Pages 489–499
DOI: https://doi.org/10.1070/IM8275 (Mi im8275) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The $p$-adic law of large numbers

E. I. Zelenov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
English version PDF (255 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.1070/IM8275
Abstract: We study limit theorems for sums of independent random variables with values in the field of $p$-adic numbers. We obtain bounds for the rate of convergence in distribution for sums of independent random variables with values in the group of $p$-adic integers.
Keywords: $p$-adic numbers, limit theorems, sum of independent random variables.
Funding agency Grant number
Russian Science Foundation 14-11-00687
This work is supported by the Russian Science Foundation under grant no.~14-11-00687.
Received: 08.07.2014
Revised: 20.10.2014
Bibliographic databases:
Document Type: Article
UDC: 519.21
MSC: 60B15, 11S99, 47S10
Language: English
Original paper language: Russian
Citation: E. I. Zelenov, “The $p$-adic law of large numbers”, Izv. Math., 80:3 (2016), 489–499
Citation in format AMSBIB
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\paper The $p$-adic law of large numbers
\jour Izv. Math.
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\vol 80
\issue 3
\pages 489--499
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  • https://doi.org/10.1070/IM8275
  • https://www.mathnet.ru/eng/im/v80/i3/p31
    • This publication is cited in the following 3 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:562
    Russian version PDF:180
    English version PDF:37
    References:64
    First page:29
     
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