Abstract
We show that there exist only finitely many imaginary abelian number fields of type (2,2,...,2) with one class in each genus. Moreover, if the Generalized Riemann Hypothesis is true, we have exactly 301 such fields, whose degrees are less than or equal to 23. Finally we give the table of those 301 fields.
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Miyada, I. On imaginary abelian number fields of type (2, 2,..., 2) with one class in each genus. Manuscripta Math 88, 535–540 (1995). https://doi.org/10.1007/BF02567840
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DOI: https://doi.org/10.1007/BF02567840