Joint research 2002

of Karim Belabas, Aïssa Derhem, and Daniel C. Mayer

On these pages, we present most recent results of our joint research, directly from the lab.

Basic bibliography:
K. Belabas, A fast algorithm to compute cubic fields, Math. Comp. 66 (1997), 1213-1237
A. Derhem, Capitulation dans les extensions quadratiques non ramifiées de corps de nombres cubiques cycliques,
Thèse de doctorat, Université Laval, Québec, 1988
D. C. Mayer, Multiplicities of dihedral discriminants, Math. Comp. 58 (1992), 831-847 and S55-S58

Web master's e-mail address:
contact@algebra.at

28. Unexplored Pure Cubic Fields with 3-class rank r >= 2 (2002/10/26)
27. Inverse Population of Pure Cubic Principal Factorization Types (2002/10/22)
26. Pure Cubic Fields with 3-class rank 1, 2, or 3 (2002/10/20)
25. Capitulation in Unramified Cubic Extensions of the Galois Closure of Pure Cubic Fields (2002/10/10)
24. Pure Cubic Fields with 3-class rank 0 (2002/10/02)
23. Ambiguous Principal Ideals in Cyclic Cubic Fields (2002/09/18)
22. Capitulation in Unramified Cubic Extensions of Cyclic Cubic Fields (2002/07/18)
21. Octuplets of Cyclic Cubic Fields (2002/04/20)
20. Quadruplets of Cyclic Cubic Fields (2002/04/17)
19. Lattice Geometry of Cyclic Cubic Fields (2002/04/15)
18. The Leading Table of Cyclic Cubic Fields (2002/04/08)
17. Yuck ! Here they are -- the Cyclic Cubic Monsters (2002/04/03)
16. Class Numbers of Cyclic Cubic Fields (2002/04/01)
15. Geometry of Totally Real Cubic Fields (2002/03/23)
14. Exotic pure cubic fields (2002/03/20)
13. Families of pure cubic fields (2002/03/18)
12. Pure cubic fields ordered by ascending radicands (2002/03/04)
11. Pure cubic fields ordered by ascending conductors (2002/03/03)
10. Sextic normal fields with cyclic or dihedral Galois group (2002/02/22)
9. Quadratic fields with cyclic 2-class group (2002/02/17)
8. Sextic fields associated with quadratic 3-ray class groups (2002/02/11)
7. Cubic discriminants with irregular conductors (2002/02/08)
6. Multiplicities of cubic discriminants (2002/02/05)
5. Minimal occurrences of cubic multiplicities (2002/02/02)
4. Multiplicities of quintic discriminants (2002/01/31)
3. Jordi Quer's complex quadratic field with 3-rank 5 (2002/01/29)

Archive:

2. Absolutely cyclic cubic fields (2001/12/24)
1. First occurrence of cubic discriminants with 3-defect 2 (2001/07/28)

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