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.

    Comment: 10 pages; this is a revised version to appear in Communications in Mathematics

    https://doi.org/10.46298/cm.12610
    Source: arXiv.org:2311.16806
    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
    Licence: arXiv.org - Non-exclusive license to distribute

    Classifications

    Mathematics Subject Classification 20201
    Sources:
    • [1] zbMATH Open.

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