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On the computation of number fields of small discriminants including the minimum discriminants of sixth degree fields. (English) Zbl 0478.12005


MSC:

11R29 Class numbers, class groups, discriminants
11R21 Other number fields
11Y40 Algebraic number theory computations
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References:

[1] Land, R., Konstruktive Methoden zur Bestimmung von Maximalordnungen und Kroneckerklassen, Diplomarbeit (1978), Köln
[2] Liang, J.; Zassenhaus, H., The minimum discriminant of sixth degree totally complex algebraic number fields, J. Number Theory, 9, 16-35 (1977) · Zbl 0345.12005
[3] Obreschkoff, N., Verteilung und Berechnung der Nullstellen reeller Polynome (1963), Berlin · Zbl 0156.28202
[5] Pohst, M., Berechnung kleiner Diskriminanten total reeller algebraischer Zahlkörper, J. Reine Angew. Math., 278/79, 278-300 (1975) · Zbl 0314.12014
[6] Pohst, M., Regulatorabschätzungen für total reelle algebraische Zahlkörper, J. Number Theory, 9, 459-492 (1977) · Zbl 0366.12011
[7] Zassenhaus, H., On Hensel factorization II, (Symposia Mathematica XV (1975)), 499-513 · Zbl 0337.12014
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