Summing the sum of digits

Fuente: arXiv
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Autori principali: Allouche, Jean-Paul, Stipulanti, Manon
Natura: Preprint
Pubblicazione: 2023
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author Allouche, Jean-Paul
Stipulanti, Manon
author_facet Allouche, Jean-Paul
Stipulanti, Manon
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2311_16806
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Summing the sum of digits
Allouche, Jean-Paul
Stipulanti, Manon
Number Theory
Discrete Mathematics
Combinatorics
68R15, 11A63, 11B99
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.
title Summing the sum of digits
topic Number Theory
Discrete Mathematics
Combinatorics
68R15, 11A63, 11B99
url https://arxiv.org/abs/2311.16806