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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.10563 |
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| _version_ | 1866916898860433408 |
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| author | Louboutin, Stéphane R. |
| author_facet | Louboutin, Stéphane R. |
| contents | In 2024, M. K. Ram proved that the class number of an imaginary cyclic quartic number field is never equal to a prime $p\equiv 3\pmod 4$. Here we greatly generalize this result to the case of the non-quadratic imaginary cyclic number fields of $2$-power degrees and not necessarily prime class numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_10563 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A class number problem for imaginary cyclic number fields of 2-power degrees Louboutin, Stéphane R. Number Theory In 2024, M. K. Ram proved that the class number of an imaginary cyclic quartic number field is never equal to a prime $p\equiv 3\pmod 4$. Here we greatly generalize this result to the case of the non-quadratic imaginary cyclic number fields of $2$-power degrees and not necessarily prime class numbers. |
| title | A class number problem for imaginary cyclic number fields of 2-power degrees |
| topic | Number Theory |
| url | https://arxiv.org/abs/2508.10563 |