| Title:
|
Computing all elements of given index in sextic fields with a cubic subfield (English) |
| Author:
|
Járási, István |
| Language:
|
English |
| Journal:
|
Acta Mathematica et Informatica Universitatis Ostraviensis |
| ISSN:
|
1211-4774 |
| Volume:
|
10 |
| Issue:
|
1 |
| Year:
|
2002 |
| Pages:
|
49-59 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11D57 |
| MSC:
|
11J86 |
| MSC:
|
11R21 |
| MSC:
|
11Y40 |
| MSC:
|
11Y50 |
| idZBL:
|
Zbl 1081.11022 |
| idMR:
|
MR1943023 |
| . |
| Date available:
|
2009-01-30T09:09:24Z |
| Last updated:
|
2013-10-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120585 |
| . |
| Reference:
|
[1] A. Baker, G. Wüstholz: Logarithmic forms and group varieties.J. Reine Angew. Math., 442 (1993), 19-62. MR 1234835 |
| Reference:
|
[2] M. Daberkow C. Fieker J. Klüners M. Pohst K. Roegner, K. Wildanger: KANT V4.J. Symbolic Comput., 24 (1997), 267-283. MR 1484479, 10.1006/jsco.1996.0126 |
| Reference:
|
[3] U. Fincke, M. Pohst: Improved methods for calculating vectors of short lenght in a lattice, including a complexity analysis.Math. Comput., 44 (1985), 463-471. MR 0777278, 10.1090/S0025-5718-1985-0777278-8 |
| Reference:
|
[4] I. Gaál: Computing elements of given index in totally complex cyclic sextic fields.J.Symbolic Comput., 20 (1995), 61-69. MR 1374224, 10.1006/jsco.1995.1038 |
| Reference:
|
[5] I. Gaál: Computing all power integral bases in orders of totally real cycłic sextic number fìelds.Math. Comput., 65 (1996), 801-822. MR 1333313, 10.1090/S0025-5718-96-00708-9 |
| Reference:
|
[6] I. Gaál: Diophantine equations and power integral bases.Birkhäuser, Boston, 2002. MR 1896601 |
| Reference:
|
[7] I. Gaál, K. Györy: On the resolution of index form equations in quintic fìelds.Acta Arith., 89 (1999), 379-396. MR 1703860 |
| Reference:
|
[8] I. Gaál, M. Pohst: On the resolution of index form equations in sextic fìelds with an imaginary quadratic subfìeld.J.Symbolic Comput., 22 (1996), 425-434. MR 1428835, 10.1006/jsco.1996.0060 |
| Reference:
|
[9] I. Gaál, M. Pohst: On the resolution of relative Thue equations.Math. Comput., 71 (2002), 429-440. MR 1863012 |
| Reference:
|
[10] K. Györy: Sur les polynomes a coefficients entiers et de discriminant donne, III.Publ. Math. (Debrecen), 23 (1976), 141-165. MR 0437491 |
| Reference:
|
[11] K. Győry: Discriminant form and index form equations.In: Algebraic number theory and diophantine analysis, Proc. Conf. Graz 1998, Walter de Gruyter 2000, 191-214. MR 1770463 |
| Reference:
|
[12] I. Járasi: Power integral bases in sextic fìelds with a cubic subfìeld.Acta Sci. Math. Szeged, to appear. MR 1991652 |
| Reference:
|
[13] K. Wildanger: Über das Lösen von Einheiten- und Indexformgleichungen in algebraischen Zahlkörpern mit einer Anwendung auf die Bestimmung aller ganzen Punkte eгner Mordellschen Kurve.Dissertation, Technical University, Berlin, (1997). |
| Reference:
|
[14] K. Wildanger: Über das Lösen von Einheiten- und Indexformgleichungen in algebraischen Zahlkörpern.J.Number Theory, 82 (2000), 188-224. Zbl 0952.11032, MR 1761620 |
| . |
