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Matematicheskie Zametki, 1969, Volume 5, Issue 6, Pages 669–680 (Mi mzm6880)  
This article is cited in 6 scientific papers (total in 6 papers)

Summation of multiplicative functions of polynomials

M. B. Barban, P. P. Vekhov

Tashkent State University
Full-text PDF (716 kB) Citations (6)
Abstract: A method is proposed for estimating sums of multiplicative functions of polynomials. This method is used to study the question of the uniform distribution of integer points on a three-dimensional sphere.
Received: 01.11.1968
English version:
Mathematical Notes, 1969, Volume 5, Issue 6, Pages 400–407
DOI: https://doi.org/10.1007/BF01374466
Bibliographic databases:
UDC: 511
Language: Russian
Citation: M. B. Barban, P. P. Vekhov, “Summation of multiplicative functions of polynomials”, Mat. Zametki, 5:6 (1969), 669–680; Math. Notes, 5:6 (1969), 400–407
Citation in format AMSBIB
\Bibitem{BarVek69}
\by M.~B.~Barban, P.~P.~Vekhov
\paper Summation of multiplicative functions of polynomials
\jour Mat. Zametki
\yr 1969
\vol 5
\issue 6
\pages 669--680
\mathnet{http://mi.mathnet.ru/mzm6880}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=250990}
\zmath{https://zbmath.org/?q=an:0192.39103}
\transl
\jour Math. Notes
\yr 1969
\vol 5
\issue 6
\pages 400--407
\crossref{https://doi.org/10.1007/BF01374466}
Linking options:
  • https://www.mathnet.ru/eng/mzm6880
  • https://www.mathnet.ru/eng/mzm/v5/i6/p669
    • This publication is cited in the following 6 articles:
    1. M. R. Gabdullin, S. V. Konyagin, V. V. Iudelevich, “Karatsuba's divisor problem and related questions”, Sb. Math., 214:7 (2023), 919–933  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. Liubomir Chiriac, Liyang Yang, “Summing Hecke eigenvalues over polynomials”, Math. Z., 302:2 (2022), 643  crossref
    3. Drappeau S., Topacogullari B., “Combinatorial Identities and Titchmarsh'S Divisor Problem For Multiplicative Functions”, Algebr. Number Theory, 13:10 (2019), 2383–2425  crossref  isi
    4. E. P. Golubeva, “Representation of large numbers by ternary quadratic forms”, Math. USSR-Sb., 57:1 (1987), 43–56  mathnet  crossref  mathscinet  zmath
    5. E. P. Golubeva, “The asymptotic distribution of lattice points belonging to given residue classes on hyperboloids of special form”, Math. USSR-Sb., 51:2 (1985), 507–532  mathnet  crossref  mathscinet  zmath
    6. F. B. Koval'chik, “Density theorems for sectors and progressions”, Lith Math J, 15:4 (1976), 618  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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