A power-saving error term in counting $C_2 \wr H$ extensions of an arbitrary base field parametrized by discriminants

Arijit Chakraborty

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arXiv · 2511.19921

A power-saving error term in counting $C_2 \wr H$ extensions of an arbitrary base field parametrized by discriminants

Arijit Chakraborty

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Abstract

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 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 $H.$

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Arijit Chakraborty. 2025-11-25. A power-saving error term in counting $C_2 \wr H$ extensions of an arbitrary base field parametrized by discriminants. https://arxiv.org/abs/2511.19921

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