Determination of the Fricke families
| Autor: | Eum, Ick Sun, Shin, Dong Hwa |
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| Rok vydání: | 2015 |
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| Druh dokumentu: | Working Paper |
| Popis: | For a positive integer $N$ divisible by $4$, let $\mathcal{O}^1_N(\mathbb{Q})$ be the ring of weakly holomorphic modular functions for the congruence subgroup $\Gamma^1(N)$ with rational Fourier coefficients. We present explicit generators of the ring $\mathcal{O}^1_N(\mathbb{Q})$ over $\mathbb{Q}$, from which we are able to classify all Fricke families of such level $N$. |
| Databáze: | arXiv |
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