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Mat. Zametki, 1996, Volume 60, Issue 3, Pages 383–389 (Mi mz1838)  

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

Estimates of trigonometric sums by the third derivative

S. A. Gritsenko

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: The well-known Van der Corput estimate of a trigonometric sum by the third derivative is sharpened.

DOI: https://doi.org/10.4213/mzm1838

Full text: PDF file (134 kB)
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English version:
Mathematical Notes, 1996, 60:3, 283–287

Bibliographic databases:

UDC: 511
Received: 22.12.1994
Revised: 30.01.1996

Citation: S. A. Gritsenko, “Estimates of trigonometric sums by the third derivative”, Mat. Zametki, 60:3 (1996), 383–389; Math. Notes, 60:3 (1996), 283–287

Citation in format AMSBIB
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\by S.~A.~Gritsenko
\paper Estimates of trigonometric sums by the third derivative
\jour Mat. Zametki
\yr 1996
\vol 60
\issue 3
\pages 383--389
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\crossref{https://doi.org/10.4213/mzm1838}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1428852}
\zmath{https://zbmath.org/?q=an:0912.42003}
\transl
\jour Math. Notes
\yr 1996
\vol 60
\issue 3
\pages 283--287
\crossref{https://doi.org/10.1007/BF02320365}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1996WN90400006}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Robert, O, “A third derivative test for mean values of exponential sums with application to lattice point problems”, Acta Arithmetica, 106:1 (2003), 27  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    2. Robert O., “Sums of the Exponential Functions with the Derivatives of the Third Type Monotone”, Acta Arith., 119:1 (2005), 1–11  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    3. Korolev M.A., “On the Primitive of the Hardy Function Z(T)”, Dokl. Math., 75:2 (2007), 295–298  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    4. M. A. Korolev, “On the integral of Hardy's function $Z(t)$”, Izv. Math., 72:3 (2008), 429–478  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    5. Robert O., Indag. Math.-New Ser., 27:2, 2, SI (2016), 559–589  crossref  mathscinet  zmath  isi  scopus
    6. D. R. Heath-Brown, “A new $k$th derivative estimate for exponential sums via Vinogradov's mean value”, Proc. Steklov Inst. Math., 296 (2017), 88–103  mathnet  crossref  crossref  mathscinet  isi  elib
  • Математические заметки Mathematical Notes
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