A power-saving error term in counting extensions of an arbitrary base field parametrized by discriminants
A Chakraborty - arXiv preprint arXiv:2511.19921, 2025 - arxiv.org
A Chakraborty
arXiv preprint arXiv:2511.19921, 2025•arxiv.orgWe 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 J\" urgen Kl\" uners 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. $
Malle's conjecture for this case was proved by J\" urgen Kl\" uners 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. $
We study Malle's conjecture for the group where is a permutation group. Malle's conjecture for this case was proved by J\"urgen Kl\"uners in \cite{arXiv:1108.5597} under mild conditions for . In this article, we provide an alternative method to obtain the explicit main term and a power-saving error term for extensions of an arbitrary number field. Furthermore, our method allows us to relax the assumptions for
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