Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2016, Volume 80, Issue 3, Pages 31–42
DOI: https://doi.org/10.4213/im8275
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. RAN. Ser. Mat., 80:3 (2016), 31–42; Izv. Math., 80:3 (2016), 489–499
Citation in format AMSBIB
\Bibitem{Zel16}
\by E.~I.~Zelenov
\paper The $p$-adic law of large numbers
\jour Izv. RAN. Ser. Mat.
\yr 2016
\vol 80
\issue 3
\pages 31--42
\mathnet{http://mi.mathnet.ru/im8275}
\crossref{https://doi.org/10.4213/im8275}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3507386}
\zmath{https://zbmath.org/?q=an:06629495}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2016IzMat..80..489Z}
\elib{https://elibrary.ru/item.asp?id=26414226}
\transl
\jour Izv. Math.
\yr 2016
\vol 80
\issue 3
\pages 489--499
\crossref{https://doi.org/10.1070/IM8275}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000384880300003}
\elib{https://elibrary.ru/item.asp?id=27579215}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84987652832}
Linking options:
  • https://www.mathnet.ru/eng/im8275
  • 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:553
    Russian version PDF:180
    English version PDF:36
    References:63
    First page:29
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024