Well-distribution modulo one and the primes
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910505466068992 |
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| author | Champagne, J. Lê, T. H. Liu, Y. -R. Wooley, T. D. |
| author_facet | Champagne, J. Lê, T. H. Liu, Y. -R. Wooley, T. D. |
| contents | Let $(p_n)$ denote the sequence of prime numbers, with $2=p_1<p_2<\ldots$. We demonstrate the existence of an irrational number $α$ having the property that the sequence $(αp_n)$ is not well-distributed modulo $1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19491 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Well-distribution modulo one and the primes Champagne, J. Lê, T. H. Liu, Y. -R. Wooley, T. D. Number Theory 11K36, 11K06 Let $(p_n)$ denote the sequence of prime numbers, with $2=p_1<p_2<\ldots$. We demonstrate the existence of an irrational number $α$ having the property that the sequence $(αp_n)$ is not well-distributed modulo $1$. |
| title | Well-distribution modulo one and the primes |
| topic | Number Theory 11K36, 11K06 |
| url | https://arxiv.org/abs/2406.19491 |