Counting multi-quadratic number fields of bounded discriminant

Robin Fritsch

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arXiv · 1902.03202

Counting multi-quadratic number fields of bounded discriminant

Robin Fritsch

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Abstract

We prove an asymptotic formula for the number of multi-quadratic number fields of bounded discriminant with a power-saving error term. Furthermore, we explicitly calculate the leading coefficient and extend our result to totally real multi-quadratic number fields.

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Robin Fritsch. 2019-02-08. Counting multi-quadratic number fields of bounded discriminant. https://arxiv.org/abs/1902.03202

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