Petits discriminants

Jacques Martinet

Annales de l'institut Fourier (1979)

  • Volume: 29, Issue: 1, page 159-170
  • ISSN: 0373-0956

Abstract

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We construct number fields of small discriminants with respect to Odlyzko’s bounds.

How to cite

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Martinet, Jacques. "Petits discriminants." Annales de l'institut Fourier 29.1 (1979): 159-170. <http://eudml.org/doc/74392>.

@article{Martinet1979,
abstract = {On construit des corps de nombres de petits discriminants relativement aux minorations de Odlyzko.},
author = {Martinet, Jacques},
journal = {Annales de l'institut Fourier},
keywords = {ODLYZLKO; LITTLE DISCRIMINANTS},
language = {fre},
number = {1},
pages = {159-170},
publisher = {Association des Annales de l'Institut Fourier},
title = {Petits discriminants},
url = {http://eudml.org/doc/74392},
volume = {29},
year = {1979},
}

TY - JOUR
AU - Martinet, Jacques
TI - Petits discriminants
JO - Annales de l'institut Fourier
PY - 1979
PB - Association des Annales de l'Institut Fourier
VL - 29
IS - 1
SP - 159
EP - 170
AB - On construit des corps de nombres de petits discriminants relativement aux minorations de Odlyzko.
LA - fre
KW - ODLYZLKO; LITTLE DISCRIMINANTS
UR - http://eudml.org/doc/74392
ER -

References

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  1. [1]H.J. GODWIN, Real quartic fields with small discriminants, J. London Math. Soc., 31 (1956), 478-485. Zbl0071.03401MR18,565b
  2. [2]H.J. GODWIN, On totally complex quartic fields with small discriminants, Proc. Cambridge Phil. Soc., 53 (1957), 1-4. Zbl0077.04601MR18,565c
  3. [3]H.J. GODWIN, On quartic fields of signature one with small discriminant, Quart. J. Math., Oxford, (2), 8 (1957), 214-222. Zbl0079.05704MR20 #3844
  4. [4]H. HASSE, Über die Klassenzahl abelscher Zahlkörper, Akademie-Verlag, Berlin, 1952. Zbl0046.26003
  5. [5]J. MARTINET, Tours de corps de classes et estimations de discriminants, Invent. Math., 44 (1978), 65-73. Zbl0369.12007MR57 #275
  6. [6]J. MARTINET, Petits discriminants, Séminaire Delange-Pisot-Poitou, Paris, exposé du 12 décembre 1977. 
  7. [7]J. MARTINET, Corps de nombre de classes 1, Séminaire de théorie des nombres, Bordeaux, exposé n° 12 du 20 janvier 1978. Zbl0399.12002MR80k:12009
  8. [8]J. MASLEY, Odlyzko bounds and class number problems, in Algebraic Number Fields, A. Fröhlich éd., Academic Press, Londres, New York, 1977. Zbl0365.12007MR56 #5493
  9. [9]A.M. ODLYZKO, Discriminant Bounds, tables multigraphiées datées du 29 novembre 1976. 
  10. [10]G. POITOU, Minorations de discriminants [d'après A.M. Odlyzko], Séminaire Bourbaki, exposé 479, février 1976. Zbl0359.12010
  11. [11]J.-P. SERRE, Corps locaux, deuxième édition, Hermann, Paris, 1968. 

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