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Fundamental units of certain algebraic number fields. (English) Zbl 0311.12005


MSC:

11R27 Units and factorization
11R16 Cubic and quartic extensions
11R23 Iwasawa theory
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References:

[1] E. Artin, Theory of Algebraic Numbers. Lecture Note, Göttingen (1959). · Zbl 0115.03503
[2] W. E. H. Berwick, Algebraic number fields with two independent units. Proc. London Math. Soc.34 (1932) 360–378. · Zbl 0005.34203
[3] R. Brauer, Beziehungen zwischen Klassenzahlen von Teilkörpern eines galoisschen Körpers. Math. Nachr.4 (1951) 158–174. · Zbl 0042.03801
[4] P. Erdös, Arithmetical properties of polynomials. Jour. London Math. Soc.28 (1953) 416–425. · Zbl 0051.27703
[5] T. Honda, Pure cubic fields whose class numbers are multiples of three. Jour. Number Theory3 (1971) 7–12. · Zbl 0222.12004
[6] M. Ishida, Class numbers of algebraic number fields of Eisenstein type. Jour. Number Theory2 (1970) 404–413. · Zbl 0205.35403
[7] S. Kuroda, Über die Klassenzahl algebraischer Zahlkörper. Nagoya Math. Jour.1 (1950) 1–10. · Zbl 0037.16101
[8] T. Nagell, Zur Theorie der kubischen Irrationalitäten. Acta Math.55 (1930) 33–65. · JFM 56.0168.04
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