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Descriptive Complexity in Cantor Series
Article discusses how a Cantor series expansion for a real number x with respect to a basic sequence Q=(q), where qi≥2, is a generalization of the base b expansion to an infinite sequence of bases. The authors show that for any basic sequence the set of distribution normal numbers is Π03-complete, and if Q is 1-divergent then the sets of normal and ratio normal numbers are Π03-complete.
Date:
September 27, 2021
Creator:
Airey, Dylan; Jackson, Steve & Mance, Bill
System:
The UNT Digital Library