On the error-sum function of Pierce expansions
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914665190129664 |
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| author | Ahn, Min Woong |
| author_facet | Ahn, Min Woong |
| contents | We introduce the error-sum function of Pierce expansions. Some basic properties of the error-sum function are analyzed. We also examine the fractal property of the graph of it by calculating the Hausdorff dimension, the box-counting dimension, and the covering dimension of the graph. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_14280 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the error-sum function of Pierce expansions Ahn, Min Woong Classical Analysis and ODEs Number Theory 28A80 (Primary) 11K55, 26A18, 33E20, 41A58 (Secondary) We introduce the error-sum function of Pierce expansions. Some basic properties of the error-sum function are analyzed. We also examine the fractal property of the graph of it by calculating the Hausdorff dimension, the box-counting dimension, and the covering dimension of the graph. |
| title | On the error-sum function of Pierce expansions |
| topic | Classical Analysis and ODEs Number Theory 28A80 (Primary) 11K55, 26A18, 33E20, 41A58 (Secondary) |
| url | https://arxiv.org/abs/2302.14280 |