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


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