On the Statistics of Partial Quotients of Finite Continued Fractions
Funkcionalʹnyj analiz i ego priloženiâ, Tome 38 (2004) no. 2, pp. 1-11
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We refine the remainder estimate in the asymptotic formula, earlier obtained in a joint paper with V. A. Bykovskii, for Arnold's problem about Gauss–Kuzmin statistics.
Keywords:
continued fraction, Gauss–Kuzmin statistics.
Mots-clés : partial quotient, convergent
Mots-clés : partial quotient, convergent
@article{FAA_2004_38_2_a0,
author = {M. O. Avdeeva},
title = {On the {Statistics} of {Partial} {Quotients} of {Finite} {Continued} {Fractions}},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {1--11},
publisher = {mathdoc},
volume = {38},
number = {2},
year = {2004},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_2004_38_2_a0/}
}
M. O. Avdeeva. On the Statistics of Partial Quotients of Finite Continued Fractions. Funkcionalʹnyj analiz i ego priloženiâ, Tome 38 (2004) no. 2, pp. 1-11. http://geodesic.mathdoc.fr/item/FAA_2004_38_2_a0/