As for Scholz' inequalities s≤r≤s+1 with respect to the 3-rank of the ideal class group of quadratic fields, we give a criterion to be r= s + 1. From this, we give a new family of imaginary quadratic fields whose ideal class groups have 3-rank at least two.
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机译:关于关于二次域的理想类别组的3级的Scholz不等式s≤r≤s+ 1,我们给出一个准则为r = s +1。由此,我们给出了一个新的虚构族理想类别组的3级秩至少为2的二次域。
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