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Matematicheskie Zametki, 1975, Volume 17, Issue 6, Pages 839–849 (Mi mzm7604)  

This article is cited in 6 scientific papers (total in 6 papers)

Estimate of a complete rational trigonometric su

V. I. Nechaev

V. A. Steklov Mathematical Institute, Academy of Sciences of the USSR,
Full-text PDF (561 kB) Citations (6)
Abstract: Supposef is a polynomial of degree $n\ge3$ with integral coefficientsa $a_0,a_1,\dots,a_n$; $q$ is a natural number; ($a_1,\dots,a_n, q)=1$ $f(0)=0$. It is proved that
$$ \Bigl|\sum_{x=1}^qe^{2\pi if(x)/q}\Bigr|<e^{5n^2/\ln n}q^{1-1/n}. $$
Received: 03.12.1974
English version:
Mathematical Notes, 1975, Volume 17, Issue 6, Pages 504–511
DOI: https://doi.org/10.1007/BF01442694
Bibliographic databases:
UDC: 511
Language: Russian
Citation: V. I. Nechaev, “Estimate of a complete rational trigonometric su”, Mat. Zametki, 17:6 (1975), 839–849; Math. Notes, 17:6 (1975), 504–511
Citation in format AMSBIB
\Bibitem{Nec75}
\by V.~I.~Nechaev
\paper Estimate of a ~complete rational trigonometric su
\jour Mat. Zametki
\yr 1975
\vol 17
\issue 6
\pages 839--849
\mathnet{http://mi.mathnet.ru/mzm7604}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=401674}
\zmath{https://zbmath.org/?q=an:0313.10038|0311.10038}
\transl
\jour Math. Notes
\yr 1975
\vol 17
\issue 6
\pages 504--511
\crossref{https://doi.org/10.1007/BF01442694}
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  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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