Primes in Tuples of Linear Forms in Number Fields and Function Fields
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917770808000512 |
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| author | Rahaman, Habibur |
| author_facet | Rahaman, Habibur |
| contents | Following the work of Castillo-Hall-Oliver-Pollack-Thompson who extended Maynard-Tao theorem on admissible tuples to number fields and function fields for tuples with monic linear forms, here we obtain the Maynard-Tao theorem for admissible tuples of linear forms with arbitrary leading coefficients in number fields and function fields. Also, we provide some applications of our results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04705 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Primes in Tuples of Linear Forms in Number Fields and Function Fields Rahaman, Habibur Number Theory 11N05, 11N36, 11T06 (Primary) Following the work of Castillo-Hall-Oliver-Pollack-Thompson who extended Maynard-Tao theorem on admissible tuples to number fields and function fields for tuples with monic linear forms, here we obtain the Maynard-Tao theorem for admissible tuples of linear forms with arbitrary leading coefficients in number fields and function fields. Also, we provide some applications of our results. |
| title | Primes in Tuples of Linear Forms in Number Fields and Function Fields |
| topic | Number Theory 11N05, 11N36, 11T06 (Primary) |
| url | https://arxiv.org/abs/2409.04705 |