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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2017, Volume 296, Pages 47–57
DOI: https://doi.org/10.1134/S0371968517010046 (Mi tm3790) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On an elementary version of I.M. Vinogradov's method

V. N. Chubarikov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.1134/S0371968517010046
Abstract: We prove estimates for complete rational arithmetic sums of Bernoulli polynomials whose arguments are formed by the fractional parts of values of a polynomial with rational coefficients. The results are applied to the problem of finding the convergence exponent for the mean values of the sums under consideration.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00071
This work was supported by the Russian Foundation for Basic Research, project no. 16-01-00071.
Received: May 13, 2016
English version:
Proceedings of the Steklov Institute of Mathematics, 2017, Volume 296, Pages 41–51
DOI: https://doi.org/10.1134/S0081543817010047
Bibliographic databases:
Document Type: Article
UDC: 511.31
Language: Russian
Citation: V. N. Chubarikov, “On an elementary version of I.M. Vinogradov's method”, Analytic and combinatorial number theory, Collected papers. On the occasion of the 125th anniversary of the birth of Academician Ivan Matveevich Vinogradov, Trudy Mat. Inst. Steklova, 296, MAIK Nauka/Interperiodica, Moscow, 2017, 47–57; Proc. Steklov Inst. Math., 296 (2017), 41–51
Citation in format AMSBIB
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\paper On an elementary version of I.M. Vinogradov's method
\inbook Analytic and combinatorial number theory
\bookinfo Collected papers. On the occasion of the 125th anniversary of the birth of Academician Ivan Matveevich Vinogradov
\serial Trudy Mat. Inst. Steklova
\yr 2017
\vol 296
\pages 47--57
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\crossref{https://doi.org/10.1134/S0371968517010046}
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\transl
\jour Proc. Steklov Inst. Math.
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\pages 41--51
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  • https://www.mathnet.ru/eng/tm3790
  • https://doi.org/10.1134/S0371968517010046
  • https://www.mathnet.ru/eng/tm/v296/p47
    • This publication is cited in the following 1 articles:
    1. V. N. Chubarikov, “Multiple complete rational arithmetic sums of polynomial values”, Dokl. Math., 97:1 (2018), 15–17  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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    Full-text PDF :68
    References:84
    First page:18
     
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