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

cm:12610 - Communications in Mathematics, May 9, 2024, Volume 33 (2025), Issue 2 (Special issue: Numeration, Liège 2023, dedicated to the 75th birthday of professor Christiane Frougny) - https://doi.org/10.46298/cm.12610
Summing the sum of digitsArticle

Authors: Jean-Paul Allouche ORCID; Manon Stipulanti ORCID

    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.


    Volume: Volume 33 (2025), Issue 2 (Special issue: Numeration, Liège 2023, dedicated to the 75th birthday of professor Christiane Frougny)
    Published on: May 9, 2024
    Accepted on: April 25, 2024
    Submitted on: November 29, 2023
    Keywords: Mathematics - Number Theory,Computer Science - Discrete Mathematics,Mathematics - Combinatorics,68R15, 11A63, 11B99

    Consultation statistics

    This page has been seen 44 times.
    This article's PDF has been downloaded 19 times.