Summing the sum of digits
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866914603190976512 |
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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 |