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Takagi Function Identities on Dyadic Rationals (2111.05996v3)
Published 11 Nov 2021 in math.CO, cs.DS, math.CA, and math.NT
Abstract: The number of unbalanced interior nodes of divide-and-conquer trees on $n$ leaves is known to form a sequence of dilations of the Takagi function on dyadic rationals. We use this fact to derive identities on the Takagi function and on the Hamming weight of an integer in terms of the Takagi function.
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