Institut de Mathématiques de Luminy

Abstract 2001-14

Louboutin Stéphane.
Exponents of the ideal class groups of the CM number fields.

Since class numbers of CM number fields of a given degree go to infinity with the absolute values of their discriminants, it is reasonable to ask whether the same conclusion still holds true for the exponents of their ideal class groups. We prove that under the assumption of the Generalized Riemann Hypothesis this is indeed the case.



Last update : may 14, 2001, EL.