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Russian Mathematical Surveys, 1966, Volume 21, Issue 1, Pages 49–103
DOI: https://doi.org/10.1070/RM1966v021n01ABEH004146
(Mi rm5822)
 

This article is cited in 44 scientific papers (total in 44 papers)

The “large sieve” method and its applications in the theory of numbers

M. B. Barban
References:
Received: 06.05.1964
Bibliographic databases:
Document Type: Article
UDC: 511.2
Language: English
Original paper language: Russian
Citation: M. B. Barban, “The “large sieve” method and its applications in the theory of numbers”, Russian Math. Surveys, 21:1 (1966), 49–103
Citation in format AMSBIB
\Bibitem{Bar66}
\by M.~B.~Barban
\paper The ``large sieve'' method and its applications in the theory of numbers
\jour Russian Math. Surveys
\yr 1966
\vol 21
\issue 1
\pages 49--103
\mathnet{http://mi.mathnet.ru/eng/rm5822}
\crossref{https://doi.org/10.1070/RM1966v021n01ABEH004146}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=199171}
\zmath{https://zbmath.org/?q=an:0234.10031}
Linking options:
  • https://www.mathnet.ru/eng/rm5822
  • https://doi.org/10.1070/RM1966v021n01ABEH004146
  • https://www.mathnet.ru/eng/rm/v21/i1/p51
  • This publication is cited in the following 44 articles:
    1. N. A. Vavilov, “Computers As a Novel Mathematical Reality: IV. The Goldbach Problem”, Dokl. Math., 107:3 (2023), 205  crossref
    2. Paul Pollack, Akash Singha Roy, “Distribution in coprime residue classes of polynomially-defined multiplicative functions”, Math. Z., 303:4 (2023)  crossref
    3. Claus Bauer, “The Barban–Davenport–Halberstam theorem for a restricted set of arithmetic progressions”, Int. J. Number Theory, 18:09 (2022), 2075  crossref
    4. Prapanpong Pongsriiam, Robert C. Vaughan, “The divisor function on residue classes III”, Ramanujan J, 56:2 (2021), 697  crossref
    5. Nicole Raulf, Association for Women in Mathematics Series, 24, Women in Numbers Europe III, 2021, 291  crossref
    6. Sarah Peluse, “An asymptotic version of the prime power conjecture for perfect difference sets”, Math. Ann., 380:3-4 (2021), 1387  crossref
    7. Julio Andrade, Asmaa Shamesaldeen, “The moments and statistical distribution of class number of primes over function fields”, Finite Fields and Their Applications, 73 (2021), 101845  crossref
    8. Yasufumi Hashimoto, “Asymptotic behaviors of class number sums associated with Pell-type equations”, Math. Z., 292:1-2 (2019), 641  crossref
    9. Pierre-Alain Fouque, Mehdi Tibouchi, “Close to Uniform Prime Number Generation With Fewer Random Bits”, IEEE Trans. Inform. Theory, 65:2 (2019), 1307  crossref
    10. Peter J. Cho, Henry H. Kim, “Moments of logarithmic derivatives of L-functions”, Journal of Number Theory, 183 (2018), 40  crossref
    11. Peter D.T.A. Elliott, “Multiplicative function mean values: asymptotic estimates”, Funct. Approx. Comment. Math., 56:2 (2017)  crossref
    12. P.D.T.A. Elliott, “Jonas Kubilius and Probabilistic Number Theory Some Personal Reflections”, Lith Math J, 2015  crossref
    13. WeiLi Yao, “A Barban-Davenport-Halberstam theorem for integers with fixed number of prime divisors”, Sci. China Math, 2014  crossref
    14. Alex Kontorovich, “Levels of Distribution and the Affine Sieve”, Annales de la Faculté des sciences de Toulouse : Mathématiques, 23:5 (2014), 933  crossref
    15. E. V. Vakhitova, S. R. Vakhitova, “O vybore priblizheniya chisla elementov v posledovatelnosti znachenii neprivodimogo polinoma ot argumenta pq s ogranicheniyami na p i q”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 13:1(1) (2013), 3–8  mathnet  crossref
    16. Hirofumi Nagoshi, “The moments and statistical distribution of class numbers of quadratic fields with prime discriminant”, Lith Math J, 2012  crossref
    17. E. V. Vakhitova, S. R. Vakhitova, “Ob odnom neravenstve, svyazannom s priblizheniem chisla elementov v konechnoi posledovatelnosti spetsialnogo vida”, Chebyshevskii sb., 13:2 (2012), 18–27  mathnet
    18. H.-Q. Liu, “Barban–Davenport–Halberstam average sum and exceptional zero of L-functions”, Journal of Number Theory, 128:4 (2008), 1011  crossref
    19. O. M. Fomenko, “On the distribution of the values of L(1,χ8p)”, J. Math. Sci. (N. Y.), 143:3 (2007), 3161–3171  mathnet  crossref  mathscinet  zmath  elib
    20. O. M. Fomenko, “On the value distribution for L(1,sym2f)”, St. Petersburg Math. J., 17:6 (2006), 1031–1046  mathnet  crossref  mathscinet  zmath  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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