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Summing the sum of digits
Jean-Paul, Allouche; Stipulanti, Manon
2023
 

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Keywords :
Combinatorics on words; Sum of digits; Blancmange curve
Abstract :
[en] 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.
Disciplines :
Mathematics
Author, co-author :
Jean-Paul, Allouche
Stipulanti, Manon  ;  Université de Liège - ULiège > Département de mathématique > Mathématiques discrètes
Language :
English
Title :
Summing the sum of digits
Publication date :
2023
Number of pages :
10
Source :
Funders :
F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]
Funding number :
1.C.104.24F
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since 11 December 2023

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