Normal number constructions for Cantor series with slowly growing bases
Dylan Airey, Bill Mance, Joseph Vandehey (2016)
Czechoslovak Mathematical Journal
Similarity:
Let be a sequence of bases with . In the case when the are slowly growing and satisfy some additional weak conditions, we provide a construction of a number whose -Cantor series expansion is both -normal and -distribution normal. Moreover, this construction will result in a computable number provided we have some additional conditions on the computability of , and from this construction we can provide computable constructions of numbers with atypical normality properties. ...