Descriptive complexity in Cantor series

2020/10/26 by Airey, Dylain, Jackson, Steve, Mance, Bill · 2 citations
#FOS: Mathematics #Logic (math.LO) #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2010.13947

Abstract

A Cantor series expansion for a real number x with respect to a basic sequence Q=(q₁,q₂,…), where q_i ≥ 2, is a representation of the form x=a₀ + ∑_i=1^∞ (a_i)/(q₁q₂⋯ q_i) where 0 ≤ a_i

Cited by

• The Theory of Normality for Dynamically Generated Cantor Series Expansions
• Borel Complexity of the set of vectors normal for a fixed recurrence sequence

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