Construction of normal numbers with respect to the $Q$-Cantor series expansion for certain $Q$

Details Construction of normal numbers with respect to the $Q$-Cantor series expansion for certain $Q$ Construction of normal numbers with respect to the $Q$-Cantor series expansion for certain $Q$

2009-11-08

arxiv.org/abs/0911.1485v2

Acta Arith. 148 (2011), 135-152

Mathematics

Number Theory

Scientific paper

A. Renyi \cite{Renyi} made a definition that gives one generalization of simple normality in the context of $Q$-Cantor series. Similarly, in this paper we give a definition which generalizes the notion of normality in the context of $Q$-Cantor series. We will prove a theorem that allows us to concatenate sequences of digits that have a special property to give us the digits of a $Q$-normal number for certain $Q$. We will then use this theorem to construct a Q and a real number $x$ that is $Q$-normal.

Affiliated with

Also associated with

No associations

Rating

Construction of normal numbers with respect to the $Q$-Cantor series expansion for certain $Q$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Construction of normal numbers with respect to the $Q$-Cantor series expansion for certain $Q$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Construction of normal numbers with respect to the $Q$-Cantor series expansion for certain $Q$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-686163