RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Probl. Peredachi Inf.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Probl. Peredachi Inf., 2003, Volume 39, Issue 1, Pages 88–102 (Mi ppi207)  

This article is cited in 2 scientific papers (total in 2 papers)

Zeros and Local Extrema of Trigonometric Sums

A. A. Karatsuba


Abstract: Theorems on the number of zeros and number of local extrema of trigonometric sums, in particular, Gauss and Weyl sums, are proved.

Full text: PDF file (1317 kB)
References: PDF file   HTML file

English version:
Problems of Information Transmission, 2003, 39:1, 78–91

Bibliographic databases:

UDC: 621.391:519.2

Citation: A. A. Karatsuba, “Zeros and Local Extrema of Trigonometric Sums”, Probl. Peredachi Inf., 39:1 (2003), 88–102; Problems Inform. Transmission, 39:1 (2003), 78–91

Citation in format AMSBIB
\Bibitem{Kar03}
\by A.~A.~Karatsuba
\paper Zeros and Local Extrema of Trigonometric Sums
\jour Probl. Peredachi Inf.
\yr 2003
\vol 39
\issue 1
\pages 88--102
\mathnet{http://mi.mathnet.ru/ppi207}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2101667}
\zmath{https://zbmath.org/?q=an:1081.11058}
\transl
\jour Problems Inform. Transmission
\yr 2003
\vol 39
\issue 1
\pages 78--91
\crossref{https://doi.org/10.1023/A:1023682532112}


Linking options:
  • http://mi.mathnet.ru/eng/ppi207
  • http://mi.mathnet.ru/eng/ppi/v39/i1/p88

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    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. Karatsuba A.A., “Behavior of the function $R_1(x)$ and its mean value”, Dokl. Math., 72:2 (2005), 712–715  mathnet  mathscinet  zmath  isi  elib  elib
    2. M. A. Korolev, “On Anatolii Alekseevich Karatsuba's works written in the 1990s and 2000s”, Proc. Steklov Inst. Math., 299 (2017), 1–43  mathnet  crossref  crossref  isi  elib  elib
  • Проблемы передачи информации Problems of Information Transmission
    Number of views:
    This page:315
    Full text:96
    References:33

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019