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most citedOn the continuity of the Hausdorff dimension of the univoque set

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math.NT2012

Digital sum inequalities and approximate convexity of Takagi-type functions

Pieter C. Allaart

For an integer b>=2, let s_b(n) be the sum of the digits of the integer n when written in base b, and let S_b(N) be the sum of s_b(n) over n=0,...,N-1, so that S_b(N) is the sum of…