Logic Seminar

Unexpected distribution phenomenon resulting from Cantor series expansions

Dylan Airey, Undergraduate Student, Mathematics, University of Texas,

Cantor series expansions are a generalization of b-ary expansions. We explore in depth the number theoretic and statistical properties of certain sets of numbers arising from their Cantor series expansions. As a direct consequence of our main theorem we deduce numerous new results as well as strengthen known ones. Examples include normality along polynomial subsequences and computability of normal numbers with respect to these expansions.

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For more information, please contact Alexander Kechris by email at [email protected] or visit http://www.math.caltech.edu/~logic/index.html.