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Title: Quadratic extensions of quintic fields of signature $(3,1)$ (English)
Author: Selmane, Schehrazad
Language: English
Journal: Acta Mathematica et Informatica Universitatis Ostraviensis
ISSN: 1211-4774
Volume: 10
Issue: 1
Year: 2002
Pages: 117-123
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Category: math
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MSC: 11R11
MSC: 11R21
MSC: 11R29
MSC: 11Y40
idZBL: Zbl 1061.11055
idMR: MR1943031
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Date available: 2009-01-30T09:09:56Z
Last updated: 2013-10-22
Stable URL: http://hdl.handle.net/10338.dmlcz/120577
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Reference: [1] M. Daberkow C. Fieker J. Khüners M. Pohst K. Roegner, K. Wildanger: Kant V4.J. Symbolic Comp. 24 (1997), 267-283. MR 1484479, 10.1006/jsco.1996.0126
Reference: [2] F. Diaz y Diaz M. Pohst, A. Schwaгtz: A table of quintic number fields of signature (3,1).Math. Comp. 56 (1991), 801-808. MR 1068820, 10.1090/S0025-5718-1991-1068820-3
Reference: [3] J. Martinet: Methodes geometriques dans la recherche des petits discriminants.Sem. de Theorie des nombres de paris 1983/1984, Birkhauser Verlag, Bassel (1985) 147-179. MR 0902831
Reference: [4] M. Pohst: On computing isomorphisms of equation orders.Math. Comp. 48(1987), 309-314. Zbl 0632.12001, MR 0866116, 10.1090/S0025-5718-1987-0866116-2
Reference: [5] Sc. Selmane: Non-primitive number fields of degree eight and of signature (2,3), (4,2) and (6,1) with small discriminant.Math. Comp. 68 (1999), 333-344. MR 1489974, 10.1090/S0025-5718-99-00998-9
Reference: [6] Sc. Selmane: Quadratic extensions of totally real quintic fields.Math. Comp. 70 (2001), 837-843. Zbl 0991.11069, MR 1697649, 10.1090/S0025-5718-00-01210-2
Reference: [7] Sc. Selmane: Tenth degree number fields with quintic fields having one real place.Math. Comp. 70 (2001), 845-851. Zbl 0991.11070, MR 1709158, 10.1090/S0025-5718-00-01232-1
Reference: [8] Sc. Selmane: Odlyzko-Poitou-Serre Lower Bounds for Discriminant for some Number Fields.Magreb Math. Rev. 8 (1999), 151-162. MR 1871537
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