References
Hasse, H.: Über die Klassenzahl abelscher Zahlkörper. Berlin: Akademie 1952; Berlin Heidelberg New York Tokyo: Springer 1985
Hirabayashi, M., Yoshino, K.: Remarks on unit indices of imaginary abelian number fields II. Manuscr. Math.64, 235–251 (1989)
Horie, K.: CM-fields with all roots of unity. Compos. Math.74, 1–14 (1990)
Horie, K., Horie, M.: CM-fields and exponents of their ideal class groups. Acta Arith.55, 157–170 (1990)
Masley, J.M., Montgomery, H.L.: Cyclotomic fields with unique factorization. J. Reine Angew. Math.286/287, 248–256 (1976)
Rédei, L., Reichardt, H.: Die Anzahl der durch 4 teilbaren Invarianten der Klassengruppe eines beliebigen quadratischen Zahlkörpers. J. Reine Angew. Math.170, 69–74 (1933)
Sinnott, W.: On the Stickelberger ideal and the circular units of an abelian field. Invent. Math.62, 181–234 (1980)
Washington, L.C.: Introduction to cyclotomic fields. Berlin Heidelberg New York: Springer 1982
Yokoyama, A.: On the relative class number of finite algebraic number fields. J. Math. Soc. Japan19, 179–184 (1967)
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To the memory of Professor Makoto Ishida
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Horie, K. On a ratio between relative class numbers. Math Z 211, 505–521 (1992). https://doi.org/10.1007/BF02571442
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DOI: https://doi.org/10.1007/BF02571442