Summing the sum of digits
Copyright policy )Summing the sum of digits
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.
FOS: Computer and information sciences, Combinatorics on words, Mathematics - Number Theory, Discrete Mathematics (cs.DM), Discrete Mathematics, 68R15, 11A63, 11B99, Sequences and sets, sum of digits, blancmange curve, Combinatorics, Number Theory, FOS: Mathematics, Mathematics - Combinatorics, combinatorics on words, Number Theory (math.NT), Combinatorics (math.CO), Radix representation; digital problems, Computer Science - Discrete Mathematics
FOS: Computer and information sciences, Combinatorics on words, Mathematics - Number Theory, Discrete Mathematics (cs.DM), Discrete Mathematics, 68R15, 11A63, 11B99, Sequences and sets, sum of digits, blancmange curve, Combinatorics, Number Theory, FOS: Mathematics, Mathematics - Combinatorics, combinatorics on words, Number Theory (math.NT), Combinatorics (math.CO), Radix representation; digital problems, Computer Science - Discrete Mathematics
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