Collatz Representations With Bounded Partial Quotients
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910908864790528 |
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| author | Kobus, Franciszek |
| author_facet | Kobus, Franciszek |
| contents | We define Collatz representations for a subset of rational numbers and prove that each real number \( x \notin (-1,1) \) can be approximated arbitrarily well by rational numbers which have only \( 2 \)'s and \( 1 \)'s in their Collatz representation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07970 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Collatz Representations With Bounded Partial Quotients Kobus, Franciszek General Mathematics 11-XX (Primary), 28A80 (Secondary) We define Collatz representations for a subset of rational numbers and prove that each real number \( x \notin (-1,1) \) can be approximated arbitrarily well by rational numbers which have only \( 2 \)'s and \( 1 \)'s in their Collatz representation. |
| title | Collatz Representations With Bounded Partial Quotients |
| topic | General Mathematics 11-XX (Primary), 28A80 (Secondary) |
| url | https://arxiv.org/abs/2504.07970 |