Lithuanian Mathematical Journal

, Volume 21, Issue 1, pp 15–22 | Cite as

Estimation of the rate of convergence for distributions of values of certain multiplicative functions

  • Z. Kryžius


Multiplicative Function 
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Literature Cited

  1. 1.
    B. V. Levin, N. M. Timofeev, and S. T. Tulyaganov, “Distribution of values of multiplicative functions” Liet. Mat. Rinkinys,13, No. 1, 87–100 (1973).Google Scholar
  2. 2.
    A. S. Fainleib, “Generalized Esseen's inequality and its application to the probabilistic theory of numbers,” Izv. Akad. Nauk SSSR, Ser. Mat.,32, No. 4, 859–879 (1968).Google Scholar
  3. 3.
    Z. Yushkis, “Question of the distribution of values of arithmetic multiplicative functions,” Liet. Mat. Rinkinys,12, No. 3, 185–201 (1972).Google Scholar
  4. 4.
    I. Kubilyus, Probabilistic Methods in Number Theory [in Russian], Gos. Izdat. Polit. Nauchn. Lit., Vilnius (1962).Google Scholar
  5. 5.
    K. Prakhar, Distribution of Prime Numbers [Russian translation], Mir, Moscow (1967).Google Scholar
  6. 6.
    V. M. Zolotarev, “General theory of multiplication of independent random variables,” Dokl. Akad. Nauk SSSR,142, No. 4, 788–791 (1962).Google Scholar
  7. 7.
    Z. Krizhyus, “Mean value of multiplicative functions and distribution of values of real multiplicative functions,” Liet. Mat. Rinkinys,20, No. 2, 69–78 (1980).Google Scholar
  8. 8.
    E. Landau, “Über den Gebrauch bedingt konvergenter Integrale in der Primzahltheorie,” Mat. Ann.,71, 368–379 (1912).Google Scholar
  9. 9.
    A. Renyi, “A new proof of a theorem of Delange,” Publ. Math.,12, No. 1-4, 323–329 (1965).Google Scholar

Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • Z. Kryžius

There are no affiliations available

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