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Fundamentalnaya i Prikladnaya Matematika, 2014, Volume 19, Issue 5, Pages 75–87 (Mi fpm1606)  
This article is cited in 4 scientific papers (total in 4 papers)

On the Wiener norm of subsets of $\mathbb Z_p$ of medium size

S. V. Konyaginab, I. D. Shkredovac

a Steklov Mathematical Institute of Russian Academy of Sciences
b Lomonosov Moscow State University
c Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute)
Full-text PDF (160 kB) Citations (4)
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Abstract: We give a lower bound for the Wiener norm of the characteristic function of a subset $A$ from $\mathbb Z_p$, where $p$ is a prime number, in the situation where $\exp((\log p/\log\log p)^{1/3})\le|A|\le p/3$.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00332
12-01-33080 мол_а_вед
Ministry of Education and Science of the Russian Federation НШ-3082.2014.1
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 218, Issue 5, Pages 599–608
DOI: https://doi.org/10.1007/s10958-016-3045-1
Bibliographic databases:
Document Type: Article
UDC: 511.321+517.518.4
Language: Russian
Citation: S. V. Konyagin, I. D. Shkredov, “On the Wiener norm of subsets of $\mathbb Z_p$ of medium size”, Fundam. Prikl. Mat., 19:5 (2014), 75–87; J. Math. Sci., 218:5 (2016), 599–608
Citation in format AMSBIB
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\by S.~V.~Konyagin, I.~D.~Shkredov
\paper On the Wiener norm of subsets of $\mathbb Z_p$ of medium size
\jour Fundam. Prikl. Mat.
\yr 2014
\vol 19
\issue 5
\pages 75--87
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\transl
\jour J. Math. Sci.
\yr 2016
\vol 218
\issue 5
\pages 599--608
\crossref{https://doi.org/10.1007/s10958-016-3045-1}
\elib{https://elibrary.ru/item.asp?id=27566946}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85028234626}
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  • https://www.mathnet.ru/eng/fpm/v19/i5/p75
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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    References:56
     
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