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math.NT2018
On the transcendence of certain real numbers
Veekesh Kumar, Bill Mance
In this article we discuss the transcendence of certain infinite sums and products by using the Subspace theorem. In particular we improve the result of Hančl and Rucki \cite{hancl…
math.NT2010
On winning sets and non-normal numbers
Bill Mance
In \cite{SchmidtGames}, W. Schmidt proved that the set of non-normal numbers in base is a {\it winning set}. We generalize this result by proving that many sets of non-normal n…