Estimate of the remainder term in the limit theorem for denominators of continued fractions

DOI10.1007/BF01116883zbMath0494.10039OpenAlexW1993501863MaRDI QIDQ1169000

S. Singh

Publication date: 1981

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01116883

zbMATH Keywords

normal approximationuniform estimateconvergentspeed of convergenceregular continued fraction expansion

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Metric theory of continued fractions (11K50)

Related Items (6)

A quantitative version of the theorem on Khintchine's constant ⋮ Large deviations for denominators of continued fractions ⋮ Precise asymptotics on the Birkhoff sums for dynamical systems ⋮ The transport speed and optimal work in pulsating Frenkel-Kontorova models ⋮ A metrical result on the discrepancy of (nα) ⋮ Random continued fractions: Lévy constant and Chernoff-type estimate

Cites Work

• On the Behavior of the Variances of Sums of Random Variables Forming a Stationary Process
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