Abstract
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.
Citation
Yasuhiro Kishi. "On the 3-rank of the ideal class group of quadratic fields." Kodai Math. J. 36 (2) 275 - 283, June 2013. https://doi.org/10.2996/kmj/1372337518
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