most citedClass field theory for strictly quasilocal fields with Henselian discrete valuations

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math.NT2005

On the Divisibility of Class Numbers of Cubic Number Fields with Discriminants in a Prescribed Rational Quadratic Class

Ivan Chipchakov, Kalin Kostadinov

Let n be an odd number and F an imaginary quadratic field with odd discriminant. We show that there exists infinitely many cubic fields K such that the class number of K is divisib…