Skip to main content
Log in

Two laws of the itrated logarithm for additive functions

  • Published:
Lithuanian Mathematical Journal Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. É. Manstavichyus, “Law of iterated logarithm in Strassen formulation and additive functions,” Liet. Mat. Rinkinys,26, No. 1, 81–90 (1986).

    Google Scholar 

  2. R. Wittmann, “A general law of the iterated logarithm,” Z. Wahr. Verw. Geb.,68, 521–543 (1985).

    Google Scholar 

  3. Y. S. Chow and H. Teicher, “Iterated logaritm laws for weighted averages,” Z. Wahr. Verw. Geb.,26, 87–94 (1973).

    Google Scholar 

  4. J. Kuelbs, “The law of the iterated logarithm for Banach space valued random variables,” Lect. Notes Math.,860, 268–278 (1981).

    Google Scholar 

  5. 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 

  6. V. V. Petrov, Sums of Independent Random Variables, Springer-Verlag (1975).

  7. A. I. Martikainen, “Tests for strong convergence of normalized sums of independent random variables and their applications,” Teor. Veroyatn. Primen.,29, No. 3, 502–516 (1984).

    Google Scholar 

  8. I. P. Kubilyus, Probabilistic Methods in Number Theory [in Russian], Gos. Izd. Polit. Nauchn. Lit. LitSSR, Vilnius (1962).

    Google Scholar 

  9. É. Manstavichyus, “Strong covergence of additive arithmetic functions,” Liet. Mat. Rinkinys,25, 127–137 (1985).

    Google Scholar 

  10. P. D. T. A. Elliott, Probabilistic Number Theory. I. Mean-Value Theorems, Springer-Verlag, New York-Heidelberg-Berlin (1979).

    Google Scholar 

  11. A. S. Fainleib, “Generalization of Esseen's inequality and its application to probabilistic number theory,” Izv. Akad. Nauk SSSR, Ser. Mat.,32, No. 4, 859–879 (1968).

    Google Scholar 

Download references

Authors

Additional information

V. Kapsukas Vilnius State University. Translated from Litovskii Matematicheskii Sbornik (Lietuvos Matematikos Rinkinys), Vol. 26, No. 2, pp. 283–291, April–June, 1986.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Manstavicius, E. Two laws of the itrated logarithm for additive functions. Lith Math J 26, 139–145 (1986). https://doi.org/10.1007/BF00966147

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00966147

Keywords

Navigation