Takagi Function Identities on Dyadic Rationals
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2021
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910552894210048 |
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| author | Monroe, Laura |
| author_facet | Monroe, Laura |
| contents | The number of unbalanced interior nodes of divide-and-conquer trees on $n$ leaves is known to form a sequence of dilations of the Takagi function on dyadic rationals. We use this fact to derive identities on the Takagi function and on the Hamming weight of an integer in terms of the Takagi function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_05996 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Takagi Function Identities on Dyadic Rationals Monroe, Laura Combinatorics Data Structures and Algorithms Classical Analysis and ODEs Number Theory 68R05 (Primary) 26A27 (Secondary), 05C05, 28A80 The number of unbalanced interior nodes of divide-and-conquer trees on $n$ leaves is known to form a sequence of dilations of the Takagi function on dyadic rationals. We use this fact to derive identities on the Takagi function and on the Hamming weight of an integer in terms of the Takagi function. |
| title | Takagi Function Identities on Dyadic Rationals |
| topic | Combinatorics Data Structures and Algorithms Classical Analysis and ODEs Number Theory 68R05 (Primary) 26A27 (Secondary), 05C05, 28A80 |
| url | https://arxiv.org/abs/2111.05996 |