This is a preview of subscription content, log in via an institution to check access.
Literature Cited
I. A. Ibragimov, “A theorem from the metric theory of continued fractions,” Vestn. Leningr. Gos. Univ., Ser. Mat., Mekh. Astron., No. 1, 13–24 (1961).
I. A. Ibragimov and Yu. V. Linnik, Independent and Stationary Connected Random Variables [in Russian], Nauka, Moscow (1965).
I. Kubilyus, “Limit theorems for sums of weakly dependent random variables in the theory of Diophantine approximations,” Liet. Mat. Rinkinys,5, No. 2, 337–338 (1965).
G. Misyavichyus, “Estimate of remainder terms in limit theorems for distributions of functions of elements of continued fractions,” Liet. Mat. Rinkinys,10, No. 2, 293–308 (1970).
G. Misyavichyus, “Asymptotic expansions for distribution functions of sums of the form Σf(Tjt),” Ann. Univ. Sci. Budapest, S. Math.,14, 77–92 (1971).
V. Statulyavichus, “Limit theorems for sums of random variables, connected into a Markov chain. II.” Liet. Mat. Rinkinys,9, No. 3, 635–672 (1969).
V. Statulyavichus, “Limit theorems for random functions,” Liet. Mat. Rinkinys,10, No. 3, 583–592 (1970).
A. Ya. Khinchin, Continued Fractions [in Russian], Nauka, Moscow (1977).
W. Doeblin, “Remarques sur la theorie metrique des fractions continues,” Comp. Math.,7, 353–371 (1940).
M. I. Gordin, “Behavior of variances of sums of random variables forming a stationary process,” Teor. Veroyatn. Primen.,16, No. 3, 484–494 (1971).
Additional information
V. Kapsukas Vilnius State University. Translated from Litcvskii Matematicheskii Sbornik (Lietuvos Matematikos Rinkinys), Vol. 21, No. 3, pp. 63–73, July–September, 1981.
Rights and permissions
About this article
Cite this article
Misevičius, G. Estimate of the remainder term in the limit theorem for denominators of continued fractions. Lith Math J 21, 245–253 (1981). https://doi.org/10.1007/BF01116883
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01116883