Robin Fritsch
Abstract
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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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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.
Key concepts: Discriminant, Bounded function, Quadratic equation, Mathematics, Quadratic classifier, Term (time), Linear discriminant analysis, Algebraic number field