Lower bounds for counting $A_4$-quartic fields
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911195224604672 |
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| author | Loughran, Daniel Paterson, Ross |
| author_facet | Loughran, Daniel Paterson, Ross |
| contents | A conjecture of Malle predicts the quantity of number fields with bounded discriminant of given Galois group. We present a lower bound matching this in the case of quartic fields with Galois group $A_4$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_05248 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lower bounds for counting $A_4$-quartic fields Loughran, Daniel Paterson, Ross Number Theory Primary 11N45, Secondary 11R20, 14D23 A conjecture of Malle predicts the quantity of number fields with bounded discriminant of given Galois group. We present a lower bound matching this in the case of quartic fields with Galois group $A_4$. |
| title | Lower bounds for counting $A_4$-quartic fields |
| topic | Number Theory Primary 11N45, Secondary 11R20, 14D23 |
| url | https://arxiv.org/abs/2510.05248 |