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Summing the sum of digits

Published 28 Nov 2023 in math.NT, cs.DM, and math.CO | (2311.16806v3)

Abstract: We revisit and generalize inequalities for the summatory function of the sum of digits in a given integer base. We prove that several known results can be deduced from a theorem in a 2023 paper by Mohanty, Greenbury, Sarkany, Narayanan, Dingle, Ahnert, and Louis, whose primary scope is the maximum mutational robustness in genotype-phenotype maps.

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