Result: Gauss' problem for the continued fraction expansion with odd partial quotients revisited

Title:
Gauss' problem for the continued fraction expansion with odd partial quotients revisited
Authors:
Sebe, Gabriela Ileana
Publisher Information:
Publishing House of the Romanian Academy (Editura Academiei Române), Bucharest
Subject Terms:
Metric theory of continued fractions, Gauss' problem, Relations of ergodic theory with number theory and harmonic analysis, continued fractions
Document Type:
Academic journal Article
File Description:
application/xml
Access URL:
https://zbmath.org/2037799
Accession Number:
edsair.c2b0b933574d..a9c4c031b0cdf0cda29920c999debc03
Database:
OpenAIRE

Further Information

Summary: We solve Gauss' problem for continued fractions with odd partial quotients by considering the transition operator associated with a certain random system with complete connections as an operator on the Banach space of complex-valued functions with bounded variation. We also obtain an improvement of the estimate of the rate of convergence given by \textit{C. Popescu} in [Stud. Cercet. Mat. 49, 231-244 (1997; Zbl 0916.11048)].