The ring of finite algebraic numbers and its application to the law of decomposition of primes
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917662946230272 |
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| author | Rosen, Julian Takeyama, Yoshihiro Tasaka, Koji Yamamoto, Shuji |
| author_facet | Rosen, Julian Takeyama, Yoshihiro Tasaka, Koji Yamamoto, Shuji |
| contents | In this paper, we develop an explicit method to express finite algebraic numbers (in particular, certain idempotents among them) in terms of linear recurrent sequences, and give applications to the characterization of the splitting primes in a given finite Galois extension over the rational field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_11381 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The ring of finite algebraic numbers and its application to the law of decomposition of primes Rosen, Julian Takeyama, Yoshihiro Tasaka, Koji Yamamoto, Shuji Number Theory In this paper, we develop an explicit method to express finite algebraic numbers (in particular, certain idempotents among them) in terms of linear recurrent sequences, and give applications to the characterization of the splitting primes in a given finite Galois extension over the rational field. |
| title | The ring of finite algebraic numbers and its application to the law of decomposition of primes |
| topic | Number Theory |
| url | https://arxiv.org/abs/2208.11381 |