Loading [MathJax]/jax/output/SVG/config.js
Trudy Matematicheskogo Instituta im. V. A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta im. V. A. Steklova, 1977, Volume 143, Pages 3–31 (Mi tm2542)  
This article is cited in 6 scientific papers (total in 7 papers)

An upper bound of the modulus of a multiple trigonometric sum

G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov
Full-text PDF (2142 kB) Citations (7)
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “An upper bound of the modulus of a multiple trigonometric sum”, Analytic number theory, mathematical analysis and their applications, Collection of articles dedicated to I. M. Vinogradov on the occasion of his eighty-fifth birthday, Trudy Mat. Inst. Steklov., 143, 1977, 3–31; Proc. Steklov Inst. Math., 143 (1980), 1–31
Citation in format AMSBIB
\Bibitem{ArkKarChu77}
\by G.~I.~Arkhipov, A.~A.~Karatsuba, V.~N.~Chubarikov
\paper An upper bound of the modulus of a~multiple trigonometric sum
\inbook Analytic number theory, mathematical analysis and their applications
\bookinfo Collection of articles dedicated to I.\,M.~Vinogradov on the occasion of his eighty-fifth birthday
\serial Trudy Mat. Inst. Steklov.
\yr 1977
\vol 143
\pages 3--31
\mathnet{http://mi.mathnet.ru/tm2542}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=485721}
\zmath{https://zbmath.org/?q=an:0432.10020}
\transl
\jour Proc. Steklov Inst. Math.
\yr 1980
\vol 143
\pages 1--31
Linking options:
  • https://www.mathnet.ru/eng/tm2542
  • https://www.mathnet.ru/eng/tm/v143/p3
    • This publication is cited in the following 7 articles:
    1. M. A. Korolev, “The estimate of weighted Kloosterman sums by additive shift”, Doklady Mathematics (Supplementary issues), 106:2 (2022), 221–229  mathnet  crossref  crossref  elib
    2. S. A. Gritsenko, E. A. Karatsuba, M. A. Korolev, I. S. Rezvyakova, D. I. Tolev, M. E. Changa, “Scientific Achievements of Anatolii Alekseevich Karatsuba”, Proc. Steklov Inst. Math., 280, suppl. 2 (2013), S1–S22  mathnet  crossref  crossref  zmath  isi  elib
    3. V. N. Chubarikov, “Mnogomernye problemy teorii prostykh chisel”, Chebyshevskii sb., 12:4 (2011), 174–263  mathnet  mathscinet
    4. Potekhinskaya N.N., “On Multiple Trigonometrical Sums”, Vestnik Moskovskogo Universiteta Seriya 1 Matematika Mekhanika, 1983, no. 1, 3–7  isi
    5. Korobov N.M., “Multiple Trigonometric Sum”, Vestnik Moskovskogo Universiteta Seriya 1 Matematika Mekhanika, 1981, no. 5, 22–29  isi
    6. G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Trigonometric integrals”, Math. USSR-Izv., 15:2 (1980), 211–239  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    7. G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “A sharp estimate for the number of solutions of a system of Diophantine equations”, Math. USSR-Izv., 13:3 (1979), 461–497  mathnet  crossref  mathscinet  zmath  isi
    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
    Statistics & downloads:
    Abstract page:426
    Full-text PDF :144
    References:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025