On primes in special sequences with applications to Carmichael numbers
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866913683993526272 |
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| author | Zhang, Wei |
| author_facet | Zhang, Wei |
| contents | By involving some exponential sums related to $Λ(n)$ in arithmetic progression, we can obtain some new results for von Mangoldt function over {\bf nonhomogeneous} Beatty sequences in arithmetic progressions, which improve some recent results of Banks-Yeager unconditionally. On the other hand, we also considered the primes over Piatetski-Shapiro sequences in arithmetic progressions, which gives a continuous improvement of the results of \cite{BBB}. These results can be used to improve some results related to the Carmichael numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_02378 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On primes in special sequences with applications to Carmichael numbers Zhang, Wei Number Theory By involving some exponential sums related to $Λ(n)$ in arithmetic progression, we can obtain some new results for von Mangoldt function over {\bf nonhomogeneous} Beatty sequences in arithmetic progressions, which improve some recent results of Banks-Yeager unconditionally. On the other hand, we also considered the primes over Piatetski-Shapiro sequences in arithmetic progressions, which gives a continuous improvement of the results of \cite{BBB}. These results can be used to improve some results related to the Carmichael numbers. |
| title | On primes in special sequences with applications to Carmichael numbers |
| topic | Number Theory |
| url | https://arxiv.org/abs/2207.02378 |