Lithuanian Mathematical Journal

, Volume 20, Issue 1, pp 25–33 | Cite as

Estimate of the speed of convergence in an integral limit theorem for multiplicative functions

  • Z. Kryžius
Article
  • 12 Downloads

Keywords

Limit Theorem Integral Limit Multiplicative Function Integral Limit Theorem 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    I. Kubilyus and Z. Yushkis, “On the distribution of values of multiplicative functions,” Liet. Mat. Sb.,11, No. 2, 261–272 (1971).Google Scholar
  2. 2.
    V. M. Zolotarev, “General theory of multiplication of random variables,” Dokl. Akad. Nauk SSSR,142, No. 4, 788–791 (1962).Google Scholar
  3. 3.
    N. M. Timofeev, “Estimate of the remainder term in one-dimensional asymptotic laws,” Dokl. Akad. Nauk SSSR,200, No. 2, 298–301 (1971).Google Scholar
  4. 4.
    S. T. Tulyaganov, “Estimate of the remainder term in integral asymptotic laws for multiplicative functions,” Dokl. Akad. Nauk Uzb. SSR, No. 4, 5–7 (1972).Google Scholar
  5. 5.
    S. T. Tulyaganov, “Estimate of the deviation of the distribution functions of multiplicative functions from the limit law,” Tr. TashGU. Vopr. Mat., No. 490, 197–204 (1976).Google Scholar
  6. 6.
    É. Manstavichyus, “On the distribution of values of multiplicative functions,” in: Abstracts of Reports and Communications of the All-Union School in Number Theory, Dushanbe (1977), pp. 85–86.Google Scholar
  7. 7.
    G. Halász, “Über die Mittelwerte multiplikativer zahlen-theoretischer Funktionen,” Acta Math. Acad. Sci. Hung.,19, No. 3–4, 365–403 (1968).Google Scholar
  8. 8.
    E. C. Titchmarsh, The Zeta-Function of Riemann, Hafner (1964).Google Scholar
  9. 9.
    I. Kubilyus, Probabilistic Methods in Number Theory [in Russian], Gos. Izdat. Polit. i Nauch. Lit., Vilnius (1962).Google Scholar
  10. 10.
    Z. Kryzius, “On the speed of convergence for distribution of value functions of multiplicative functions,” Liet. Mat. Sb.,19, No. 3, 103 (1979).Google Scholar

Copyright information

© Plenum Publishing Corporation 1980

Authors and Affiliations

  • Z. Kryžius

There are no affiliations available

Personalised recommendations