On almost primes in Piatetski-Shapiro sequences
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866913838238007296 |
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| author | Li, Runbo |
| author_facet | Li, Runbo |
| contents | The author proves that for $0.9985 < γ< 1$, there exist infinitely many primes $p$ such that $[p^{1/γ}]$ has at most 5 prime factors counted with multiplicity. This gives an improvement upon the previous results of Banks-Guo-Shparlinski and Xue-Li-Zhang. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09634 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On almost primes in Piatetski-Shapiro sequences Li, Runbo Number Theory The author proves that for $0.9985 < γ< 1$, there exist infinitely many primes $p$ such that $[p^{1/γ}]$ has at most 5 prime factors counted with multiplicity. This gives an improvement upon the previous results of Banks-Guo-Shparlinski and Xue-Li-Zhang. |
| title | On almost primes in Piatetski-Shapiro sequences |
| topic | Number Theory |
| url | https://arxiv.org/abs/2505.09634 |