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Insertion in constructed normal numbers

Published 1 Jun 2021 in math.NT, cs.DM, and math.CO | (2106.00801v2)

Abstract: Defined by Borel, a real number is normal to an integer base $b$, greater than or equal to $2$, if in its base-$b$ expansion every block of digits occurs with the same limiting frequency as every other block of the same length. We consider the problem of insertion in constructed base-$b$ normal expansions to obtain normality to base $(b+1)$.

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