Rational approximation with chosen numerators
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914165136818176 |
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| author | Hauke, Manuel Kowalski, Emmanuel |
| author_facet | Hauke, Manuel Kowalski, Emmanuel |
| contents | We consider the problem of approaching real numbers with rational numbers with prime denominator and with a single numerator allowed for each denominator. We obtain basic results, both probabilistic and deterministic, draw connections to twisted diophantine approximation, and present a simple application, related to possible correlations between trace functions and dynamical sequences. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_08335 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rational approximation with chosen numerators Hauke, Manuel Kowalski, Emmanuel Number Theory Dynamical Systems 11J04, 11J83, 11N05, 11J71, 11J20 We consider the problem of approaching real numbers with rational numbers with prime denominator and with a single numerator allowed for each denominator. We obtain basic results, both probabilistic and deterministic, draw connections to twisted diophantine approximation, and present a simple application, related to possible correlations between trace functions and dynamical sequences. |
| title | Rational approximation with chosen numerators |
| topic | Number Theory Dynamical Systems 11J04, 11J83, 11N05, 11J71, 11J20 |
| url | https://arxiv.org/abs/2502.08335 |