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Russian Mathematical Surveys, 1967, Volume 22, Issue 3, Pages 119–204
DOI: https://doi.org/10.1070/RM1967v022n03ABEH001221
(Mi rm5756)
 

This article is cited in 28 scientific papers (total in 28 papers)

Аpplication of some integral equations to problems of number theory

B. V. Levin, A. S. Fainleib
References:
Bibliographic databases:
Document Type: Article
UDC: 511.2+517.9
MSC: 11Z05, 11S23, 11N60
Language: English
Original paper language: Russian
Citation: B. V. Levin, A. S. Fainleib, “Аpplication of some integral equations to problems of number theory”, Russian Math. Surveys, 22:3 (1967), 119–204
Citation in format AMSBIB
\Bibitem{LevFai67}
\by B.~V.~Levin, A.~S.~Fainleib
\paper Аpplication of some integral equations to problems of number theory
\jour Russian Math. Surveys
\yr 1967
\vol 22
\issue 3
\pages 119--204
\mathnet{http://mi.mathnet.ru/eng/rm5756}
\crossref{https://doi.org/10.1070/RM1967v022n03ABEH001221}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=229600}
\zmath{https://zbmath.org/?q=an:0204.06502}
Linking options:
  • https://www.mathnet.ru/eng/rm5756
  • https://doi.org/10.1070/RM1967v022n03ABEH001221
  • https://www.mathnet.ru/eng/rm/v22/i3/p119
    Erratum
    This publication is cited in the following 28 articles:
    1. Olivier Ramaré, G. K. Viswanadham, “Exponential sums over primes with multiplicative coefficients”, Math. Z., 304:3 (2023)  crossref
    2. Olivier Ramaré, “The number of rationals determined by large sets of sifted integers”, Proc Math Sci, 132:2 (2022)  crossref
    3. Olivier Ramaré, Birkhäuser Advanced Texts Basler Lehrbücher, Excursions in Multiplicative Number Theory, 2022, 139  crossref
    4. Olivier Bordellès, Universitext, Arithmetic Tales, 2020, 159  crossref
    5. Olivier Ramaré, Lecture Notes in Mathematics, 2213, Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics, 2018, 293  crossref
    6. K. M. Eminyan, “The generalized divisor problem with natural numbers of a special form”, Sb. Math., 206:7 (2015), 1020–1029  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    7. Olivier Bordellès, Universitext, Arithmetic Tales, 2012, 165  crossref
    8. M. A. Korolev, “On the average number of power residues modulo a composite number”, Izv. Math., 74:6 (2010), 1225–1254  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    9. M. E. Changa, “On sums of multiplicative functions over numbers all of whose prime divisors belong to given arithmetic progressions”, Izv. Math., 69:2 (2005), 423–438  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    10. Gérald Tenenbaum, Jie Wu, “Moyennes de certaines fonctions multiplicatives sur les entiers friables”, crll, 2003:564 (2003), 119  crossref  mathscinet
    11. M. E. Changa, “Numbers whose prime divisors lie in special intervals”, Izv. Math., 67:4 (2003), 837–848  mathnet  crossref  crossref  mathscinet  zmath  isi
    12. Pieter Moree, “A generalization of the Buchstab equation”, manuscripta math, 94:1 (1997), 267  crossref  mathscinet  zmath  isi
    13. V. V. Evlikov, “The rate of convergence to the normal distribution law”, Math. Notes, 55:2 (1994), 144–150  mathnet  crossref  mathscinet  zmath  isi
    14. G. Diamond, “Elementarnye metody v izuchenii raspredeleniya prostykh chisel”, UMN, 45:2(272) (1990), 79–114  mathnet  mathscinet  zmath
    15. Eric Saias, “Sur le nombre des entiers sans grand facteur premier”, Journal of Number Theory, 32:1 (1989), 78  crossref
    16. Adolf Hildebrand, “On the number of positive integers ≦ x and free of prime factors > y”, Journal of Number Theory, 22:3 (1986), 289  crossref
    17. E. J. Scourfield, “Uniform estimates for certain multiplicative properties”, Mh Math, 97:3 (1984), 233  crossref  mathscinet  zmath  isi
    18. B. V. Levin, N. M. Timofeev, “Mean distribution of arithmetic functions over progressions (theorems of Vinogradov–Bombieri type)”, Math. USSR-Sb., 53:2 (1986), 563–580  mathnet  crossref  mathscinet  zmath
    19. Donald G. Hazlewood, “Sums over numbers with restricted prime factors”, Journal of Number Theory, 17:3 (1983), 350  crossref
    20. Krishnaswami Alladi, “Asymptotic estimates of sums involving the Moebius function”, Journal of Number Theory, 14:1 (1982), 86  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:59
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