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Trudy Mat. Inst. Steklov., 1984, Volume 168, Pages 4–30 (Mi tm2220)  

This article is cited in 7 scientific papers (total in 8 papers)

The method of trigonometric sums in number theory

I. M. Vinogradov, A. A. Karatsuba


Full text: PDF file (2718 kB)

English version:
Proceedings of the Steklov Institute of Mathematics, 1986, 168, 3–30

Bibliographic databases:
UDC: 511.3

Citation: I. M. Vinogradov, A. A. Karatsuba, “The method of trigonometric sums in number theory”, Algebra, mathematical logic, number theory, topology, Collection of survey articles. 1. On the occasion of the 50th anniversary of the founding of the Institute, Trudy Mat. Inst. Steklov., 168, 1984, 4–30; Proc. Steklov Inst. Math., 168 (1986), 3–30

Citation in format AMSBIB
\Bibitem{VinKar84}
\by I.~M.~Vinogradov, A.~A.~Karatsuba
\paper The method of trigonometric sums in number theory
\inbook Algebra, mathematical logic, number theory, topology
\bookinfo Collection of survey articles.~1. On the occasion of the 50th anniversary of the founding of the Institute
\serial Trudy Mat. Inst. Steklov.
\yr 1984
\vol 168
\pages 4--30
\mathnet{http://mi.mathnet.ru/tm2220}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=755892}
\zmath{https://zbmath.org/?q=an:0549.10027|0603.10037}
\transl
\jour Proc. Steklov Inst. Math.
\yr 1986
\vol 168
\pages 3--30


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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. A. A. Karatsuba, “Zeros and Local Extrema of Trigonometric Sums”, Problems Inform. Transmission, 39:1 (2003), 78–91  mathnet  crossref  mathscinet  zmath
    2. I. Sh. Dzhabarov, “Ob otsenkakh trigonometricheskikh integralov”, Chebyshevskii sb., 11:1 (2010), 85–108  mathnet  mathscinet
    3. 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
    4. I. Sh. Dzhabbarov, “O pokazatele skhodimosti osobogo integrala mnogomernoi problemy Terri”, Chebyshevskii sb., 14:2 (2013), 74–103  mathnet
    5. P. Z. Rakhmonov, “Short Sums with a Noninteger Power of a Natural Number”, Math. Notes, 95:5 (2014), 697–707  mathnet  crossref  crossref  mathscinet  isi  elib
    6. Z. Kh. Rakhmonov, F. Z. Rahmonov, “Short cubic exponential sums over primes”, Proc. Steklov Inst. Math., 296 (2017), 211–233  mathnet  crossref  crossref  mathscinet  isi  elib
    7. M. P. Mineev, V. N. Chubarikov, “I.M. Vinogradov's method in number theory and its current development”, Proc. Steklov Inst. Math., 296 (2017), 1–17  mathnet  crossref  crossref  mathscinet  isi  elib
    8. 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  isi  elib
  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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