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References:
[Ear] EARNEST A. G.: Exponents of the class groups of imaginary abelian number fields. Bull. Austral. Math. Soc. 35 (1987), 231-245. MR 0878434 | Zbl 0597.12006
[Lan1] LANG S.: Cyclotomic Fields I and II. (combined 2nd ed.). Grad. Texts in Math. 121, Springer-Verlag, New York, 1990. MR 1029028 | Zbl 0704.11038
[Lan2] LANG S.: Algebraic Number Theory. (2nd ed.). Grad. Texts in Math. 110, Springer-Verlag, New York, 1994. MR 1282723 | Zbl 0811.11001
[Lo1] LOUBOUTIN S.-OKAZAKI R.: Determination of all non-normal quartic $CM$-fields and of all non-abelian normal octic $CM$-fields with class number one. Acta Arith. 67 (1994), 47-62. MR 1292520 | Zbl 0809.11069
[Lo2] LOUBOUTIN S.-OKAZAKI R.: The class number one problem for some nonabelian normal $CM$-fields of 2-power degrees. Proc. London Math. Soc. (3) 76 (1998), 523-548. MR 1616805
[Lo3] LOUBOUTIN S.-OKAZAKI R.: Determination of all quaternion $CM$-fields with ideal class groups of exponent 2. Osaka J. Math. 36 (1999), 229-257. MR 1736479 | Zbl 0952.11025
[Lou1] LOUBOUTIN S.: Continued fractions and real quadratic fields. J. Number Theory 30 (1988), 167-176. MR 0961914 | Zbl 0652.12002
[Lou2] LOUBOUTIN S.: On the class number one problem for the non-normal quartic $CM$-fields. Tohoku Math. J. (2) 46 (1994), 1-12. MR 1256724
[Lou3] LOUBOUTIN S.: Calcul du nombre de classes des corps de nombres. Pacific J. Math. 171 (1995), 455-467. MR 1372239 | Zbl 0854.11060
[Lou4] LOUBOUTIN S.: Determination of all nonquadratic imaginary cyclic number fields of 2-power degrees with ideal class groups of exponents $< 2$. Math. Comp. 64 (1995), 323-340. MR 1248972
[Lou5] LOUBOUTIN S.: The class number one problem for the non-abelian normal $CM$-fields of degre 16. Acta Arith. 82 (1997), 173-196. MR 1477509
[Lou6] LOUBOUTIN S.: Powerful necessary conditions for class number problems. Math. Nachr. 183 (1997), 173-184. MR 1434981 | Zbl 0871.11078
[Lou7] LOUBOUTIN S.: Hasse unit indices of dihedral octic $CM$-fields. Math. Nachr. 215 (2000), 107-113. MR 1768197 | Zbl 0972.11105
[Lou8] LOUBOUTIN S.: Explicit lower bounds for residues at $s = 1$ of Dedekind zeta functions and relative class numbers of $CM$-fields. Trans. Amer. Math. Soc. 355 (2003), 3079-3098. MR 1974676 | Zbl 1026.11085
[Mor] MORTON P.: On Rédei's theory of the Pell equation. J. Reine Angew. Math. 307/308 (1979), 373-398. MR 0534233 | Zbl 0395.12018
[YK] YANG H.-S.-KWON S.-H.: The non-normal quartic $CM$-fields and the octic dihedral $CM$-fields with relative class number two. J. Number Theory 79 (1999), 175-193. MR 1728146 | Zbl 0976.11051
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