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Mathematics of the USSR-Izvestiya, 1982, Volume 18, Issue 2, Pages 205–225
DOI: https://doi.org/10.1070/IM1982v018n02ABEH001386 (Mi im1556) 		 
This article is cited in 27 scientific papers (total in 28 papers)

On a problem of Littlewood

S. V. Konyagin
English version PDF (665 kB) Citations (28)
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DOI: https://doi.org/10.1070/IM1982v018n02ABEH001386
Abstract: The Littlewood conjecture is proved: for any integers $m_1,\dots,m_M$
$$ \int_{-\pi}^{\pi}\biggl|\sum_{j=1}^M\exp(im_jx)\biggr|\,dx\geqslant C\ln M, $$
where $C>0$ is an absolute constant.
Bibliography: 19 titles.
Received: 04.11.1980
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1981, Volume 45, Issue 2, Pages 243–265
Bibliographic databases:
Document Type: Article
UDC: 517.5
MSC: Primary 42A05; Secondary 42C20
Language: English
Original paper language: Russian
Citation: S. V. Konyagin, “On a problem of Littlewood”, Izv. Akad. Nauk SSSR Ser. Mat., 45:2 (1981), 243–265; Math. USSR-Izv., 18:2 (1982), 205–225
Citation in format AMSBIB
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\by S.~V.~Konyagin
\paper On~a~problem of Littlewood
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1981
\vol 45
\issue 2
\pages 243--265
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=616222}
\zmath{https://zbmath.org/?q=an:0511.42003|0493.42004}
\transl
\jour Math. USSR-Izv.
\yr 1982
\vol 18
\issue 2
\pages 205--225
\crossref{https://doi.org/10.1070/IM1982v018n02ABEH001386}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1982NR40000001}
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  • https://doi.org/10.1070/IM1982v018n02ABEH001386
  • https://www.mathnet.ru/eng/im/v45/i2/p243
    • This publication is cited in the following 28 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:1662
    Russian version PDF:527
    English version PDF:62
    References:84
    First page:3
     
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