A simplified algorithmic realization of Galois actions on special values of modular functions
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918061286621184 |
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| author | Koo, Ja Kyung Shin, Dong Hwa Yoon, Dong Sung |
| author_facet | Koo, Ja Kyung Shin, Dong Hwa Yoon, Dong Sung |
| contents | We propose an explicit and practical algorithm for computing Galois conjugates and irreducible polynomials for special values of modular functions evaluated at CM points associated with imaginary quadratic orders. Our approach builds upon the theory of extended form class groups developed by Jung et al., offering a refinement of earlier methods by Stevenhagen and Cho, respectively. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_14139 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A simplified algorithmic realization of Galois actions on special values of modular functions Koo, Ja Kyung Shin, Dong Hwa Yoon, Dong Sung Number Theory Primary 11R37, Secondary 11E12, 11F03, 11R65 We propose an explicit and practical algorithm for computing Galois conjugates and irreducible polynomials for special values of modular functions evaluated at CM points associated with imaginary quadratic orders. Our approach builds upon the theory of extended form class groups developed by Jung et al., offering a refinement of earlier methods by Stevenhagen and Cho, respectively. |
| title | A simplified algorithmic realization of Galois actions on special values of modular functions |
| topic | Number Theory Primary 11R37, Secondary 11E12, 11F03, 11R65 |
| url | https://arxiv.org/abs/2506.14139 |