On sums of partial quotients in continued fraction expansions

DOI10.1088/0951-7715/21/9/012zbMath1221.11168OpenAlexW1991420192MaRDI QIDQ3525176

Jian Xu

Publication date: 11 September 2008

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/21/9/012

zbMATH Keywords

continued fractionsirrational numbermetric theory

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Fractals (28A80) Metric theory of continued fractions (11K50)

Related Items (14)

Upper and lower fast Khintchine spectra in continued fractions ⋮ Big Birkhoff sums in $d$-decaying Gauss like iterated function systems ⋮ On the exceptional sets concerning the leading partial quotient in continued fractions ⋮ Level sets of partial maximal digits for Lüroth expansion ⋮ On sums of partial quotients in Hurwitz continued fraction expansions ⋮ A remark on big Birkhoff sums in \(d\)-decaying Gauss like iterated function systems ⋮ On the digits of Schneider's \(p\)-adic continued fractions ⋮ Full dimensional sets of reals whose sums of partial quotients increase in certain speed ⋮ A remark on Liao and Rams' result on the distribution of the leading partial quotient with growing speed \(e^{n^{1/2}}\) in continued fractions ⋮ Subexponentially increasing sums of partial quotients in continued fraction expansions ⋮ Large deviation principle for arithmetic functions in continued fraction expansion ⋮ Some exceptional sets of Borel-Bernstein theorem in continued fractions ⋮ The relative growth rate for partial quotients in continued fractions ⋮ Limit theorems for sums of products of consecutive partial quotients of continued fractions

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