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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 431, Pages 72–81 (Mi znsl6095)  
This article is cited in 5 scientific papers (total in 5 papers)

On the Littlewood–Offord problem

Yu. S. Eliseevaab, A. Yu. Zaitsevac

a St. Petersburg State University, St. Petersburg, Russia
b Chebyshev Laboratory, St. Petersburg State University, St. Petersburg, Russia
c St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (188 kB) Citations (5)
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Abstract: The paper deals with studying a connection of the Littlewood–Offord problem with estimating the concentration functions of some symmetric infinitely divisible distributions. Some multivariate generalizations of results of Arak (1980) are given. They show a connection of the concentration function of the sum with the arithmetic structure of supports of distributions of independent random vectors for arbitrary distributions of summands.
Key words and phrases: concentration functions, inequalities, the Littlewood–Offord problem, sums of independent random variables.
Received: 18.11.2014
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 214, Issue 4, Pages 467–473
DOI: https://doi.org/10.1007/s10958-016-2790-5
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: Yu. S. Eliseeva, A. Yu. Zaitsev, “On the Littlewood–Offord problem”, Probability and statistics. Part 21, Zap. Nauchn. Sem. POMI, 431, POMI, St. Petersburg, 2014, 72–81; J. Math. Sci. (N. Y.), 214:4 (2016), 467–473
Citation in format AMSBIB
\Bibitem{EliZai14}
\by Yu.~S.~Eliseeva, A.~Yu.~Zaitsev
\paper On the Littlewood--Offord problem
\inbook Probability and statistics. Part~21
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 431
\pages 72--81
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6095}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3488637}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 214
\issue 4
\pages 467--473
\crossref{https://doi.org/10.1007/s10958-016-2790-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84961120249}
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  • https://www.mathnet.ru/eng/znsl/v431/p72
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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