Abstract.
We prove that, under the assumption of the Generalized Riemann Hypothesis, the exponent of the ideal class group of a CM-field goes to infinity with its absolute discriminant. This gives a positive answer to a question raised by Louboutin and Okazaki [4].
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Received September 10, 2001; in revised form April 5, 2002
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Amoroso, F., Dvornicich, R. Lower Bounds for the Height and Size of the Ideal Class Group in CM-Fields. Monatsh. Math. 138, 85–94 (2003). https://doi.org/10.1007/s00605-002-0499-7
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DOI: https://doi.org/10.1007/s00605-002-0499-7