Class number of real quadratic fields of explicit discriminant
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866913602704769024 |
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| author | Bernardini, Riccardo |
| author_facet | Bernardini, Riccardo |
| contents | In this paper we are interested in the class numbers of a family of real quadratic fields for which the square roots of the discriminants have a known expansion in continued fraction. In particular we prove that $h(D)>1$, with possibly a finite number of exceptions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_06351 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Class number of real quadratic fields of explicit discriminant Bernardini, Riccardo Number Theory 11R29, 11R11, 11A55 In this paper we are interested in the class numbers of a family of real quadratic fields for which the square roots of the discriminants have a known expansion in continued fraction. In particular we prove that $h(D)>1$, with possibly a finite number of exceptions. |
| title | Class number of real quadratic fields of explicit discriminant |
| topic | Number Theory 11R29, 11R11, 11A55 |
| url | https://arxiv.org/abs/2412.06351 |