RUS  ENG
Full version
JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive
Funktsional. Anal. i Prilozhen., 2004 Volume 38, Issue 2, Pages 1–11 (Mi faa103)
This article is cited in 17 papers

On the Statistics of Partial Quotients of Finite Continued Fractions

M. O. Avdeevaab

a Khabarovsk State Pedagogical University
b Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences

Abstract: 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, partial quotient, convergent, Gauss–Kuzmin statistics.

UDC: 511.36+511.37

Received: 06.02.2003

DOI: 10.4213/faa103


 English version: Functional Analysis and Its Applications, 2004, 38:2, 79–87

Bibliographic databases:

© Steklov Math. Inst. of RAS, 2024