A power-saving error term in counting $C_2 \wr H$ extensions of an arbitrary base field parametrized by discriminants
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917102340800512 |
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| author | Chakraborty, Arijit |
| author_facet | Chakraborty, Arijit |
| contents | We study Malle's conjecture for the group $C_2 \wr H$ where $H$ is a permutation group. Malle's conjecture for this case was proved by Jürgen Klüners in \cite{arXiv:1108.5597} under mild conditions for $H$. In this article, we provide an alternative method to obtain the explicit main term and a power-saving error term for $C_2 \wr H$ extensions of an arbitrary number field. Furthermore, our method allows us to relax the assumptions for $H.$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_19921 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A power-saving error term in counting $C_2 \wr H$ extensions of an arbitrary base field parametrized by discriminants Chakraborty, Arijit Number Theory We study Malle's conjecture for the group $C_2 \wr H$ where $H$ is a permutation group. Malle's conjecture for this case was proved by Jürgen Klüners in \cite{arXiv:1108.5597} under mild conditions for $H$. In this article, we provide an alternative method to obtain the explicit main term and a power-saving error term for $C_2 \wr H$ extensions of an arbitrary number field. Furthermore, our method allows us to relax the assumptions for $H.$ |
| title | A power-saving error term in counting $C_2 \wr H$ extensions of an arbitrary base field parametrized by discriminants |
| topic | Number Theory |
| url | https://arxiv.org/abs/2511.19921 |