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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
[4] {\scA. Odlyzko}, unpublished tables of Feb. 11, 1976, improved results are in preparation.
[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, (), 499-513
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