Les discriminants quadratiques et la congruence de Stickelberger

Jacques Martinet

Journal de théorie des nombres de Bordeaux (1989)

  • Volume: 1, Issue: 1, page 197-204
  • ISSN: 1246-7405

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Martinet, Jacques. "Les discriminants quadratiques et la congruence de Stickelberger." Journal de théorie des nombres de Bordeaux 1.1 (1989): 197-204. <http://eudml.org/doc/93496>.

@article{Martinet1989,
author = {Martinet, Jacques},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {corps de nombres; discriminants; Stickelberger theorem; discriminant; quadratic extension},
language = {fre},
number = {1},
pages = {197-204},
publisher = {Université Bordeaux I},
title = {Les discriminants quadratiques et la congruence de Stickelberger},
url = {http://eudml.org/doc/93496},
volume = {1},
year = {1989},
}

TY - JOUR
AU - Martinet, Jacques
TI - Les discriminants quadratiques et la congruence de Stickelberger
JO - Journal de théorie des nombres de Bordeaux
PY - 1989
PB - Université Bordeaux I
VL - 1
IS - 1
SP - 197
EP - 204
LA - fre
KW - corps de nombres; discriminants; Stickelberger theorem; discriminant; quadratic extension
UR - http://eudml.org/doc/93496
ER -

References

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  1. [1] A-M. Bergé et J. Martinet, Formes quadratiques et extensions en caractéristique 2, Ann. Inst. Fourier35, 2 (1985), 57-77. Zbl0539.10018MR786534
  2. [2] A. Frôhlich, Discriminants of algebraic number fields, Math. Z.74 (1960), 18-28. Zbl0098.03303MR113876
  3. [3] A. Frôhlich, Ideals in an extension field as modules over the algebraic integers in a finite number field, Math. Z.74 (1960), 29-38. Zbl0098.03401MR113877
  4. [4] E. Hecke, "Vorlesungen über die Theorie der algebraischen Zahlen," Chelsea, New York, 1948 (éd. originale: 1923). Zbl0041.01102
  5. [5] J. Martinet, Character theory and Artin L-functions, "Algebraic Number Fields (A. Frôhlich, éd.)," Academic Press, London, New York, 1977, pp. 2-87. Zbl0359.12015MR447187
  6. [6] J. Martinet, Petits discriminants des corps de nombres, London Math. Soc. Lecture Notes Series 56 (1982), 151-193. Zbl0491.12005MR697261
  7. [7] I. Schur, Elementarer Beweis eines Satzes von L. Stickelberger, Math. Z.29 (1929), 87-88 (= Ges. Abh., vol. III, pp. 87-88). MR1545019JFM54.0190.01
  8. [8] J-P. Serre, Conducteurs d'Artin des caractères réels, Invent. Math.14 (1971), 173-183. Zbl0229.13006MR321908
  9. [9] L. Stickelberger, Über eine neue Eigenschaft der Diskriminanten algebraischer Zahlkörper, Int. Cong. Zürich (1897), 182-193. JFM29.0172.03
  10. [10] A. Weil, "Automorphic forms and Dirichlet Series," Springer Lecture Notes189, Heidelberg, 1971. Zbl0218.10046

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