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Izv. Akad. Nauk SSSR Ser. Mat., 1943, Volume 7, Issue 1, Pages 17–34 (Mi izv3731)  

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

An improvement of the estimation of sums with primes

I. M. Vinogradow


Full text: PDF file (1424 kB)

Bibliographic databases:
Received: 17.10.1942

Citation: I. M. Vinogradow, “An improvement of the estimation of sums with primes”, Izv. Akad. Nauk SSSR Ser. Mat., 7:1 (1943), 17–34

Citation in format AMSBIB
\Bibitem{Vin43}
\by I.~M.~Vinogradow
\paper An improvement of the estimation of sums with primes
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1943
\vol 7
\issue 1
\pages 17--34
\mathnet{http://mi.mathnet.ru/izv3731}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=9392}
\zmath{https://zbmath.org/?q=an:0060.10907}


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  • http://mi.mathnet.ru/eng/izv3731
  • http://mi.mathnet.ru/eng/izv/v7/i1/p17

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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, “Arithmetic problems in the theory of Dirichlet characters”, Russian Math. Surveys, 63:4 (2008), 641–690  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    2. Z. Kh. Rakhmonov, “Raspredelenie znachenii kharakterov Dirikhle v posledovatelnosti sdvinutykh prostykh chisel”, Izv. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika, 13:4(2) (2013), 113–117  mathnet
    3. Z. Kh. Rakhmonov, “Summy kharakterov s prostymi chislami”, Chebyshevskii sb., 15:2 (2014), 73–100  mathnet
    4. 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
    5. M. A. Korolev, “On a Diophantine inequality with reciprocals”, Proc. Steklov Inst. Math., 299 (2017), 132–142  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    6. Z. Kh. Rakhmonov, “Sums of values of nonprincipal characters over a sequence of shifted primes”, Proc. Steklov Inst. Math., 299 (2017), 219–245  mathnet  crossref  crossref  isi  elib
  • Известия Академии наук СССР. Серия математическая
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