Abstract
For [Formula: see text], let [Formula: see text] be its Lüroth expansion, and let [Formula: see text] be the sequence of convergents of [Formula: see text] Define the exceptional sets [Formula: see text] and [Formula: see text] Arroyo and González Robert [Hausdorff dimension of sets of numbers with large Lüroth elements, preprint (2020), arXiv:2010.13932] presented upper and lower bound estimations for the Hausdorff dimension of [Formula: see text]. In this paper, we determine the Hausdorff dimensions of the sets [Formula: see text] as well as [Formula: see text]
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
