Discriminants minimaux successifs pour les corps de nombres algébriques totalement réels de degré n

Elisabeth Gallou

Séminaire de théorie des nombres de Grenoble (1975-1977)

  • Volume: 5, page 1-29

How to cite

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Gallou, Elisabeth. "Discriminants minimaux successifs pour les corps de nombres algébriques totalement réels de degré $n$." Séminaire de théorie des nombres de Grenoble 5 (1975-1977): 1-29. <http://eudml.org/doc/275198>.

@article{Gallou1975-1977,
author = {Gallou, Elisabeth},
journal = {Séminaire de théorie des nombres de Grenoble},
language = {fre},
pages = {1-29},
publisher = {Institut des Mathématiques Pures - Université Scientifique et Médicale de Grenoble},
title = {Discriminants minimaux successifs pour les corps de nombres algébriques totalement réels de degré $n$},
url = {http://eudml.org/doc/275198},
volume = {5},
year = {1975-1977},
}

TY - JOUR
AU - Gallou, Elisabeth
TI - Discriminants minimaux successifs pour les corps de nombres algébriques totalement réels de degré $n$
JO - Séminaire de théorie des nombres de Grenoble
PY - 1975-1977
PB - Institut des Mathématiques Pures - Université Scientifique et Médicale de Grenoble
VL - 5
SP - 1
EP - 29
LA - fre
UR - http://eudml.org/doc/275198
ER -

References

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  1. [1] Berwick - Integral Bases. Camb. Tracts on Maths, n ° 22. JFM53.0142.01
  2. [2] Cassels - An introduction to the geometry of numbers. Zbl0866.11041
  3. [3] Cohn - Note on fields of small discriminant. Proc. Amer. Math. Soc.3 (1952), pp. 713-714. Zbl0048.02603MR49946
  4. [4] Davenport - The product of n homogeneous linear forms. Indag Math.8 (1946), pp. 524-541. Zbl0060.11907
  5. [5] Gantmacher - Théorie des matrices, t. 2, Dunod. Zbl0136.00410
  6. [6] Godwin - The determination of fields of small discriminant with a given subfield. Math. Scand.6 (1958), pp. 40-46. Zbl0085.02601MR105404
  7. [7] Hunter - The minimum discriminant of quintic fields. Proc. Glasgow Math. Association, vol. III (1957). Zbl0080.03003
  8. [8] Kaur - The minimum discriminant of sixth degree totally real algebric number fields. Journal of the Indian Math. Soc. (1970), pp. 123-134. Zbl0228.12001MR292793
  9. [9] Liang et Zassenhaus - The minimum discriminant of sixth degree totally complex algebraic number fields. Journal of number theory, 9 (1977) , pp. 16-35. Zbl0345.12005MR427270
  10. [10] Martinet - Sur l'arithmétique des extensions galoisiennes à groupe de Galois diédral d'ordre 2p. Zbl0165.06502
  11. [11] Pohst - The minimum discriminant of seventh degree totally real algebraic number fields. Journal of number theory (à paraître). Zbl0373.12006

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