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arxiv: 1902.03202 · v2 · pith:OMSWIGT4new · submitted 2019-02-08 · 🧮 math.NT

Counting multi-quadratic number fields of bounded discriminant

classification 🧮 math.NT
keywords numberfieldsmulti-quadraticboundeddiscriminantasymptoticcalculatecoefficient
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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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