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Imaginary quadratic fields with class groups of 3-rank at least 2. (English) Zbl 07260774
Summary: In this short note, we construct a family of imaginary quadratic fields whose class group has 3-rank at least 2. We show that, for every large $$X$$, there are $$\gg X^{\frac{1}{2} - \epsilon}$$ such fields with the discriminant $$-D$$ satisfying $$D \le X$$.
##### MSC:
 11R11 Quadratic extensions 11R29 Class numbers, class groups, discriminants
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##### References:
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