Abstract
Let x=[d1,···dn,···]E be the Engel continued fraction of x∈[0,1].Call Sn(x)=Σ0≤k<n(x)(dk+1/dk) the normalized partial sum of x. We prove that the partial sum Sn can not satisfy the strong law of large numbers for any reasonably growing norming sequence.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Paper version not known
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
