Geodesic
On the class number of fields, abelian over an imaginary quadratic field
Izvestiya. Mathematics , Tome 1 (1967) no. 3, pp. 697-705

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An arithmetic formula is obtained for the class number of fields of complex multiplication with odd conductor. 
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     author = {A. P. Novikov},
     title = {On the class number of fields, abelian over an imaginary quadratic field},
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A. P. Novikov. On the class number of fields, abelian over an imaginary quadratic field. Izvestiya. Mathematics , Tome 1 (1967) no. 3, pp. 697-705. http://geodesic.mathdoc.fr/item/IM2_1967_1_3_a11/