Linear recurrent sequences providing decomposition law in number fields
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909381307662336 |
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| author | Hori, Haruto Kida, Masanari |
| author_facet | Hori, Haruto Kida, Masanari |
| contents | In their recent paper, Rosen, Takeyama, Tasaka, and Yamamoto constructed recurrent sequences providing a decomposition law of primes in a Galois extension. In this paper, we reconstruct their sequences via representation theory of finite groups and obtain an explicit description of the sequences. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_16357 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Linear recurrent sequences providing decomposition law in number fields Hori, Haruto Kida, Masanari Number Theory 11R21, 11B37, 20C15 In their recent paper, Rosen, Takeyama, Tasaka, and Yamamoto constructed recurrent sequences providing a decomposition law of primes in a Galois extension. In this paper, we reconstruct their sequences via representation theory of finite groups and obtain an explicit description of the sequences. |
| title | Linear recurrent sequences providing decomposition law in number fields |
| topic | Number Theory 11R21, 11B37, 20C15 |
| url | https://arxiv.org/abs/2402.16357 |