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Mathematics of the USSR-Izvestiya, 1976, Volume 10, Issue 1, Pages 200–210
DOI: https://doi.org/10.1070/IM1976v010n01ABEH001685 (Mi im2106) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Multiple trigonometric sums

G. I. Arkhipov, V. N. Chubarikov
English version PDF (434 kB) Citations (10) Russian version article
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DOI: https://doi.org/10.1070/IM1976v010n01ABEH001685
Abstract: We prove a multidimensional analog of I. M. Vinogradov's theorem on the mean value of the modulus of a trigonometric sum. We illustrate the possibility of using our theorem to estimate multiple trigonometric sums with the example of the simplest type of multiple trigonometric sums.
Bibliography: 9 titles.
Received: 25.02.1975
Bibliographic databases:
Document Type: Article
UDC: 517.5
MSC: Primary 10G05; Secondary 10B15, 10B45
Language: English
Original paper language: Russian
Citation: G. I. Arkhipov, V. N. Chubarikov, “Multiple trigonometric sums”, Math. USSR-Izv., 10:1 (1976), 200–210
Citation in format AMSBIB
\Bibitem{ArkChu76}
\by G.~I.~Arkhipov, V.~N.~Chubarikov
\paper Multiple trigonometric sums
\jour Math. USSR-Izv.
\yr 1976
\vol 10
\issue 1
\pages 200--210
\mathnet{http://mi.mathnet.ru//eng/im2106}
\crossref{https://doi.org/10.1070/IM1976v010n01ABEH001685}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=419376}
\zmath{https://zbmath.org/?q=an:0324.10038}
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  • https://doi.org/10.1070/IM1976v010n01ABEH001685
  • https://www.mathnet.ru/eng/im/v40/i1/p209
    • This publication is cited in the following 10 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:545
    Russian version PDF:149
    English version PDF:19
    References:84
    First page:3
     
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