A family of Hecke eigenforms for Drinfeld modular forms of arbitrary rank
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866918147938844672 |
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| author | Gezmiş, Oğuz Ülkem, Özge |
| author_facet | Gezmiş, Oğuz Ülkem, Özge |
| contents | We aim to provide a family of Drinfeld-Hecke eigenforms given in terms of a determinant of twisted Eisenstein series. Our main tool is the theory of vectorial Drinfeld modular forms, previously introduced by Pellarin [18] and extensively studied by Pellarin [19] as well as in his joint work with Perkins [20] in the rank two setting. We will develop this theory in the present paper for the arbitrary rank setting by using a particular representation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_20895 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A family of Hecke eigenforms for Drinfeld modular forms of arbitrary rank Gezmiş, Oğuz Ülkem, Özge Number Theory 11F52 (Primary), 11G09 (Secondary) We aim to provide a family of Drinfeld-Hecke eigenforms given in terms of a determinant of twisted Eisenstein series. Our main tool is the theory of vectorial Drinfeld modular forms, previously introduced by Pellarin [18] and extensively studied by Pellarin [19] as well as in his joint work with Perkins [20] in the rank two setting. We will develop this theory in the present paper for the arbitrary rank setting by using a particular representation. |
| title | A family of Hecke eigenforms for Drinfeld modular forms of arbitrary rank |
| topic | Number Theory 11F52 (Primary), 11G09 (Secondary) |
| url | https://arxiv.org/abs/2509.20895 |