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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.17913 |
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| _version_ | 1866914661254823936 |
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| author | Tan, Qinyun Xie, Bingyong |
| author_facet | Tan, Qinyun Xie, Bingyong |
| contents | In 1975, Goldfeld gave an effective solution to Gauss's conjecture on the class numbers of imaginary quadratic fields. In this paper, we generalize Goldfeld's theorem to the setting of totally real number fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_17913 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hilbert modular forms and class numbers Tan, Qinyun Xie, Bingyong Number Theory In 1975, Goldfeld gave an effective solution to Gauss's conjecture on the class numbers of imaginary quadratic fields. In this paper, we generalize Goldfeld's theorem to the setting of totally real number fields. |
| title | Hilbert modular forms and class numbers |
| topic | Number Theory |
| url | https://arxiv.org/abs/2401.17913 |