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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
English version PDF (678 kB) Citations (3) Russian version article
References:
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DOI: https://doi.org/10.1070/IM1988v030n02ABEH001016
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
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”, 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 Math. USSR-Izv.
\yr 1988
\vol 30
\issue 2
\pages 337--351
\mathnet{http://mi.mathnet.ru/eng/im1298}
\crossref{https://doi.org/10.1070/IM1988v030n02ABEH001016}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=897002}
\zmath{https://zbmath.org/?q=an:0638.10038|0618.10035}
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:
    1. Kevin Ford, T.D.. Wooley, “On Vinogradov’s mean value theorem: strongly diagonal behaviour via efficient congruencing”, Acta Math, 213:2 (2014), 199  crossref
    2. S. N. Preobrazhenskii, “New Estimate in Vinogradov's Mean-Value Theorem”, Math. Notes, 89:2 (2011), 277–290  mathnet  crossref  crossref  mathscinet  isi
    3. Trevor D. Wooley, “Quasi-diagonal behaviour in certain mean value theorems of additive number theory”, J. Amer. Math. Soc., 7:1 (1994), 221  crossref
    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:329
    Russian version PDF:147
    English version PDF:17
    References:62
    First page:1
     
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