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Mathematics of the USSR-Izvestiya, 1988, Volume 30, Issue 2, Pages 337–351
DOI: https://doi.org/10.1070/IM1988v030n02ABEH001016
(Mi im1298)
 

This article is cited in 3 scientific papers (total in 3 papers)

A new estimate for a trigonometric integral of I. M. Vinogradov

O. V. Tyrina
References:
Abstract: This paper is devoted to refinements of I. M. Vinogradov's theorem on the mean. New estimates are obtained for the mean values of trigonometric sums which are effective on the domain of admissible variation of the parameters.
Bibliography: 28 titles.
Received: 27.06.1986
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1987, Volume 51, Issue 2, Pages 363–378
Bibliographic databases:
UDC: 511
MSC: Primary 11L15, 11L40; Secondary 11L03, 11S50, 11P05
Language: English
Original paper language: Russian
Citation: O. V. Tyrina, “A new estimate for a trigonometric integral of I. M. Vinogradov”, Izv. Akad. Nauk SSSR Ser. Mat., 51:2 (1987), 363–378; Math. USSR-Izv., 30:2 (1988), 337–351
Citation in format AMSBIB
\Bibitem{Tyr87}
\by O.~V.~Tyrina
\paper A~new estimate for a~trigonometric integral of I.\,M.~Vinogradov
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1987
\vol 51
\issue 2
\pages 363--378
\mathnet{http://mi.mathnet.ru/im1298}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=897002}
\zmath{https://zbmath.org/?q=an:0638.10038|0618.10035}
\transl
\jour Math. USSR-Izv.
\yr 1988
\vol 30
\issue 2
\pages 337--351
\crossref{https://doi.org/10.1070/IM1988v030n02ABEH001016}
Linking options:
  • https://www.mathnet.ru/eng/im1298
  • https://doi.org/10.1070/IM1988v030n02ABEH001016
  • https://www.mathnet.ru/eng/im/v51/i2/p363
  • 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 Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:274
    Russian version PDF:135
    English version PDF:8
    References:45
    First page:1
     
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