Unexpected distribution phenomenon resulting from Cantor series expansions

2014/03/12 by Dylan Airey, Airey, Dylan, Bill Mance +1 · 1 citation
Mathematics · #Approximation Theory and Sequence Spaces #Mathematical Approximation and Integration #Mathematical Dynamics and Fractals #math.NT

paper · pdf · doi:10.48550/arxiv.1403.3026

32 pages

arxiv created 2015/03/07 · arxiv updated 2015/03/10

Abstract

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.

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