Literature Cited
B. Grigelionis and R. Mikulyavichyus, “Functional limit theorems of probabilistic number theory”, Liet Mat. Rinkinys,24, No. 2, 72–81 (1984).
Z. Krizhyus, “Distribution of additive arithmetic functions with translated arguments. II”. Liet. Mat. Rinkinys,22, No. 3, 112–121 (1983).
Z. Krizhyus, “Distribution of additive arithmetic functions with translated arguments. III”, Liet. Mat. Rinkinys,23, No. 2, 86–97 (1983).
Z. Krizhyus, “Distribution of additive arithmetic functions with translated arguments”, Liet. Mat. Rinkinys,27, No. 1, 100–112 (1987).
B. V. Levin and N. M. Timofeev, “Integral limit theorems for additive functions”, Liet. Mat. Rinkinys,16, No. 4, 133–147 (1976).
R. Sh. Liptser and A. N. Shiryaev, Theory of Martingales [in Russian], Nauka, Moscow (1986).
N. M. Timofeev and Kh. Kh. Usmanov, “Additive functions and limit theorems in function spaces”, Izv. Akad. Nauk TadzSSR, Otd. Fiz.-Mat. Geol.-Khim. Nauk., No. 4 (70), 25–33 (1987).
M. Métivier, Semimartingales,, Walter de Gruyter, Berlin-New York (1982).
Additional information
Institute of Mathematics and Cybernetics, Academy of Sciences of the Lithuanian SSR. Translated from Litovskii Matematicheskii Sbornik (Lietuvos Matematikos Rinkinys), Vol. 29, No. 1, pp. 72–82, January–March, 1989.
Rights and permissions
About this article
Cite this article
Kryzius, Z. Functional limit theorem for some arithmetic processes. Lith Math J 29, 22–30 (1989). https://doi.org/10.1007/BF00966496
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00966496