Voir la notice de l'article provenant de la source Cambridge University Press
Gaál, István. Power Integral Bases in Composits of Number Fields. Canadian mathematical bulletin, Tome 41 (1998) no. 2, pp. 158-165. doi: 10.4153/CMB-1998-025-3
@article{10_4153_CMB_1998_025_3,
author = {Ga\'al, Istv\'an},
title = {Power {Integral} {Bases} in {Composits} of {Number} {Fields}},
journal = {Canadian mathematical bulletin},
pages = {158--165},
year = {1998},
volume = {41},
number = {2},
doi = {10.4153/CMB-1998-025-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-025-3/}
}
[1] 1. Daberkow, M., Fieker, C., Klüners, J., Pohst, M., Roegner, K., Schörnig, M. and Wildanger, K., Kant V4. J. Symb. Comput. 24 (1997), 267–283. Google Scholar
[2] 2. Darmon, H., Note on a polynomial of Emma Lehmer. Math. Comp. 56 (1991), 795–800. Google Scholar
[3] 3. Gaál, I., Computing all power integral bases in orders of totally real cyclic sextic number fields. Math. Comp. 65 (1996), 801–822. Google Scholar
[4] 4. Gaál, I., Computing elements of given index in totally complex cyclic sextic fields. J. Symb. Comput., 20 (1995), 61–69. Google Scholar
[5] 5. Gaál, I., Pethőo, A. and Pohst, M., On the resolution of index form equations in quartic number fields. J. Symb. Comput., 16 (1993), 563–584. Google Scholar
[6] 6. Gaál, I., Simultaneous representation of integers by a pair of ternary quadratic forms—with an application to index form equations in quartic number fields. J. Number Theory 57 (1996), 90–104. Google Scholar
[7] 7. Gaál, I. and Pohst, M., On the resolution of index form equations in sextic fields with an imaginary quadratic subfield. J. Symb. Comput. 22 (1996), 425–434. Google Scholar
[8] 8. Gaál, I., Power integral bases in a parametric family of totally real cyclic quintics. Math. Comp. 66 (1997), 1689–1696. Google Scholar
[9] 9. Gaál, I. and Schulte, N., Computing all power integral bases of cubic number fields. Math. Comp. 53 (1989), 689–696. Google Scholar
[10] 10. Gras, M. N., Non monogénéité de l’anneau des entiers des extensions cycliques de Q de degré premier l½ 5. J. Number Theory, 23 (1986), 347–353. Google Scholar
[11] 11. Lehmer, E., Connection between Gaussian periods and cyclic units. Math. Comp. 50 (1988), 535–541. Google Scholar
[12] 12. Narkiewicz, W., Elementary and Analytic Theory of Algerbaic Numbers. Second Edition, SpringerVerlag, 1990. Google Scholar
[13] 13. Schoof, R. and Washington, L., Quintic polynomials and real cyclotomic fields with large class numbers. Math. Comp. 50 (1988), 543–556. Google Scholar
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