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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.00502 |
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| _version_ | 1866917237579841536 |
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| author | Sakamoto, Ryotaro Yoshikawa, Sho |
| author_facet | Sakamoto, Ryotaro Yoshikawa, Sho |
| contents | We determine the Hecke fields associated with weight one newforms of $A_4$-, $S_4$-, and $A_5$-type, expressed in terms of the order of its nebentypus. Furthermore, for each type, we provide a complete classification of the images of the corresponding Galois representations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_00502 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classifications of Hecke Fields and Galois Images of Weight One Exotic Newforms Sakamoto, Ryotaro Yoshikawa, Sho Number Theory We determine the Hecke fields associated with weight one newforms of $A_4$-, $S_4$-, and $A_5$-type, expressed in terms of the order of its nebentypus. Furthermore, for each type, we provide a complete classification of the images of the corresponding Galois representations. |
| title | Classifications of Hecke Fields and Galois Images of Weight One Exotic Newforms |
| topic | Number Theory |
| url | https://arxiv.org/abs/2509.00502 |