Loading [MathJax]/jax/output/SVG/config.js
Mathematics of the USSR-Izvestiya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Izvestiya, 1981, Volume 17, Issue 1, Pages 1–54
DOI: https://doi.org/10.1070/IM1981v017n01ABEH001323 (Mi im1841) 		 
This article is cited in 8 scientific papers (total in 10 papers)

Multiple trigonometric sums and their applications

G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov
English version PDF (1888 kB) Citations (10) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1981v017n01ABEH001323
Abstract: The authors obtain results in the theory of multiple trigonometric sums that in essence take account of the domain of variation of the principal parameters.
Bibliography: 6 titles.
Received: 18.03.1980
Bibliographic databases:
Document Type: Article
UDC: 511
MSC: Primary 10G10; Secondary 10F40
Language: English
Original paper language: Russian
Citation: G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Multiple trigonometric sums and their applications”, Math. USSR-Izv., 17:1 (1981), 1–54
Citation in format AMSBIB
\Bibitem{ArkKarChu80}
\by G.~I.~Arkhipov, A.~A.~Karatsuba, V.~N.~Chubarikov
\paper Multiple trigonometric sums and their applications
\jour Math. USSR-Izv.
\yr 1981
\vol 17
\issue 1
\pages 1--54
\mathnet{http://mi.mathnet.ru/eng/im1841}
\crossref{https://doi.org/10.1070/IM1981v017n01ABEH001323}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=587336}
\zmath{https://zbmath.org/?q=an:0462.10025|0446.10030}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981MW12300001}
Linking options:
  • https://www.mathnet.ru/eng/im1841
  • https://doi.org/10.1070/IM1981v017n01ABEH001323
  • https://www.mathnet.ru/eng/im/v44/i4/p723
    • This publication is cited in the following 10 articles:
    1. I. Sh. Dzhabbarov, “On the Multidimensional Tarry Problem for a Cubic Polynomial”, Math. Notes, 107:5 (2020), 713–726  mathnet  crossref  crossref  mathscinet  isi  elib
    2. I. Sh. Jabbarov, “Convergence Exponent of a Special Integral in the Two-Dimensional Tarry Problem with Homogeneous Polynomial of Degree 2”, Math. Notes, 105:3 (2019), 359–365  mathnet  crossref  crossref  mathscinet  isi  elib
    3. 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
    4. 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
    5. V. N. Chubarikov, “Mnogomernye problemy teorii prostykh chisel”, Chebyshevskii sb., 12:4 (2011), 174–263  mathnet  mathscinet
    6. G. I. Arkhipov, V. I. Blagodatskikh, V. S. Vladimirov, S. M. Voronin, O. B. Lupanov, E. F. Mishchenko, Yu. V. Prokhorov, V. N. Chubarikov, A. B. Shidlovskii, “Anatolii Alekseevich Karatsuba (on his 60th birthday)”, Russian Math. Surveys, 53:2 (1998), 419–422  mathnet  crossref  crossref  mathscinet  zmath  isi
    7. D. A. Mit'kin, “An estimate of the number of terms in Waring's problem for polynomials of general form”, Math. USSR-Izv., 29:2 (1987), 371–406  mathnet  crossref  mathscinet  zmath
    8. V. N. Chubarikov, “Estimates of multiple trigonometric sums with prime numbers”, Math. USSR-Izv., 27:2 (1986), 323–357  mathnet  crossref  mathscinet  zmath
    9. G. I. Arkhipov, “On he Hilbert–Kamke problem”, Math. USSR-Izv., 24:1 (1985), 1–47  mathnet  crossref  mathscinet  zmath
    10. G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Special cases of the theory of multiple trigonometric sums”, Math. USSR-Izv., 23:1 (1984), 17–82  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:706
    Russian version PDF:250
    English version PDF:37
    References:86
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025