Lithuanian Mathematical Journal

, Volume 26, Issue 1, pp 50–56 | Cite as

Low of the iterated logarithm in the strassen formulation and additive functions

  • E. Manstavičius
Article

Keywords

Additive Function Iterate Logarithm Strassen Formulation 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    E. Manstavichyus, “Strong convergence of additive arithmetic functions,” Liet. Mat. Rinkinys,25, No. 2, 127–137 (1985).Google Scholar
  2. 2.
    E. Manstavichyus, “Sums of additive arithmetic functions with shifted arguments,” in: Investigations in Number Theory [in Russian], Petrozavodsk State Univ. (1986).Google Scholar
  3. 3.
    E. Manstavichyus, “Law of the iterated logarithm for additive functions,” in: Twenty-Fifth Conference of the Lithuanian Mathematical Society. Abstracts of Reports [in Russian], Inst. Mat. Kibern. AN LitSSR, Vilnius (1984), pp. 175–176.Google Scholar
  4. 4.
    I. P. Kubilyus, Probabilistic Methods in Number Theory [in Russian], Gos. Izd-vo Polit. Nauchn Lit. LitSSR, Vilnius (1962).Google Scholar
  5. 5.
    V. V. Petrov, Sums of Independent Random Variables, Springer-Verlag (1975).Google Scholar
  6. 6.
    A. de Acosta, “A new proof of the Hartman-Wintner law of the iterated logarithm,” Ann. Probab.,11, No. 2, 270–276 (1983).Google Scholar
  7. 7.
    H. Teicher, “On the law of the iterated logarithm,” Ann. Probab.,2, 714–728 (1974).Google Scholar
  8. 8.
    V. A. Egorov, “Strong law of large numbers and law of the iterated logarithm,” Teor. Veroyatn. Primen.,27, No. 1, 84–98 (1972).Google Scholar
  9. 9.
    I. Z. Ruzsa, “Effective results in probabilistic number theory,” Budapest: Preprint No. 12 (1982).Google Scholar
  10. 10.
    A. I. Martikainen, “Tests for strong convergence of normalized sums of random variables and their application,” Teor. Veroyatn. Primen.,29, No. 3, 502–516 (1984).Google Scholar

Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • E. Manstavičius

There are no affiliations available

Personalised recommendations