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Matematicheskie Zametki, 1969, Volume 6, Issue 1, Pages 25–34 (Mi mzm6894)  
This article is cited in 5 scientific papers (total in 5 papers)

Double trigonometric sums and their application in approximating rational sums

N. M. Korobov

V. A. Steklov Mathematical Institute, USSR Academy of Sciences
Full-text PDF (600 kB) Citations (5)
Abstract: Inequalities for double trigonometric sums are derived. These inequalities are used to obtain new estimates of incomplete rational trigonometrical sums with denominators equal to powers of rational numbers.
Received: 03.09.1968
English version:
Mathematical Notes, 1969, Volume 6, Issue 1, Pages 472–478
DOI: https://doi.org/10.1007/BF01450249
Bibliographic databases:
UDC: 511
Language: Russian
Citation: N. M. Korobov, “Double trigonometric sums and their application in approximating rational sums”, Mat. Zametki, 6:1 (1969), 25–34; Math. Notes, 6:1 (1969), 472–478
Citation in format AMSBIB
\Bibitem{Kor69}
\by N.~M.~Korobov
\paper Double trigonometric sums and their application in approximating rational sums
\jour Mat. Zametki
\yr 1969
\vol 6
\issue 1
\pages 25--34
\mathnet{http://mi.mathnet.ru/mzm6894}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=268142}
\zmath{https://zbmath.org/?q=an:0195.33202|0191.05101}
\transl
\jour Math. Notes
\yr 1969
\vol 6
\issue 1
\pages 472--478
\crossref{https://doi.org/10.1007/BF01450249}
Linking options:
  • https://www.mathnet.ru/eng/mzm6894
  • https://www.mathnet.ru/eng/mzm/v6/i1/p25
    • This publication is cited in the following 5 articles:
    1. Banks, WD, “Uniform Distribution of Fractional Parts Related to Pseudoprimes”, Canadian Journal of Mathematics-Journal Canadien de Mathematiques, 61:3 (2009), 481  isi
    2. Arne Winterhof, Finite Fields and Applications, 2001, 462  crossref
    3. S. V. Konyagin, T. Steger, “On polynomial congruences”, Math. Notes, 55:6 (1994), 596–600  mathnet  crossref  mathscinet  zmath  isi
    4. D. A. Mit'kin, “On estimates and asymptotic formulas for rational trigonometric sums that are almost complete”, Math. USSR-Sb., 50:2 (1985), 513–532  mathnet  crossref  mathscinet  zmath
    5. N. M. Korobov, “On the distribution of digits in periodic fractions”, Math. USSR-Sb., 18:4 (1972), 659–676  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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