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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/2408.00271 |
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| _version_ | 1866929445859753984 |
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| author | Bhowmik, Tapas Pathak, Siddhi |
| author_facet | Bhowmik, Tapas Pathak, Siddhi |
| contents | In this note, we study the arithmetic nature of values of modular functions, meromorphic modular forms and meromorphic quasi-modular forms with respect to arbitrary congruence subgroups, that have algebraic Fourier coefficients. This approach unifies many of the known results, and leads to generalizations of the theorems of Schneider, Nesterenko and others. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_00271 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on transcendence of special values of functions related to modularity Bhowmik, Tapas Pathak, Siddhi Number Theory In this note, we study the arithmetic nature of values of modular functions, meromorphic modular forms and meromorphic quasi-modular forms with respect to arbitrary congruence subgroups, that have algebraic Fourier coefficients. This approach unifies many of the known results, and leads to generalizations of the theorems of Schneider, Nesterenko and others. |
| title | A note on transcendence of special values of functions related to modularity |
| topic | Number Theory |
| url | https://arxiv.org/abs/2408.00271 |