Some Aspects of Higher Continued Fractions
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866910311882162176 |
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| author | Basser, Etan Ovenhouse, Nicholas Sakarda, Anuj |
| author_facet | Basser, Etan Ovenhouse, Nicholas Sakarda, Anuj |
| contents | We investigate some properties of the higher continued fractions defined recently by Musiker, Ovenhouse, Schiffler, and Zhang. We prove that the maps defining the higher continued fractions are increasing continuous functions on the positive real numbers. We also investigate some asymptotics of these maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12859 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some Aspects of Higher Continued Fractions Basser, Etan Ovenhouse, Nicholas Sakarda, Anuj Number Theory Combinatorics We investigate some properties of the higher continued fractions defined recently by Musiker, Ovenhouse, Schiffler, and Zhang. We prove that the maps defining the higher continued fractions are increasing continuous functions on the positive real numbers. We also investigate some asymptotics of these maps. |
| title | Some Aspects of Higher Continued Fractions |
| topic | Number Theory Combinatorics |
| url | https://arxiv.org/abs/2401.12859 |