Sur les corps quadratiques imaginaires dont le 3-rang du groupe des classes est supérieur à 1

Francisco Diaz Y Diaz

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1973-1974)

  • Volume: 15, Issue: 2, page G1-G10

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Diaz Y Diaz, Francisco. "Sur les corps quadratiques imaginaires dont le 3-rang du groupe des classes est supérieur à 1." Séminaire Delange-Pisot-Poitou. Théorie des nombres 15.2 (1973-1974): G1-G10. <http://eudml.org/doc/110863>.

@article{DiazYDiaz1973-1974,
author = {Diaz Y Diaz, Francisco},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
language = {fre},
number = {2},
pages = {G1-G10},
publisher = {Secrétariat mathématique},
title = {Sur les corps quadratiques imaginaires dont le 3-rang du groupe des classes est supérieur à 1},
url = {http://eudml.org/doc/110863},
volume = {15},
year = {1973-1974},
}

TY - JOUR
AU - Diaz Y Diaz, Francisco
TI - Sur les corps quadratiques imaginaires dont le 3-rang du groupe des classes est supérieur à 1
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1973-1974
PB - Secrétariat mathématique
VL - 15
IS - 2
SP - G1
EP - G10
LA - fre
UR - http://eudml.org/doc/110863
ER -

References

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  1. [1] Châtelet ( A.). - L'arithmétique des corps quadratiques. - Genève, l'Enseignement mathématique, 1962 (Monographies de l'Enseignement mathématique, 9). Zbl0202.33003MR172863
  2. [2] Mitchell ( H.). - On classes of ideals in a quadratic field, Annals of Math., Series 2, t. 27, 1926, p. 297-314. Zbl52.0132.02MR1502734JFM52.0132.02
  3. [3] Nagell ( T. ) . - Über die Klassenzahl imaginär-quadratischer Zahlkörper, Abh. Math. Sem. Hamburg Univ., t. 1, 1922, p. 140-150. Zbl48.0170.03JFM48.0170.03
  4. [4] Neumann ( O.). - Relativ-quadratische Zahlkörper deren Klassenzahlen durch 3 teilbar sind, Math. Nachr., t. 56, 1973, p. 281-306. Zbl0268.12002MR327714
  5. [5] Scholz ( A.). - Über die Beziehung der Klassenzahlen quadratischer Körper zueinander, J. für reine und angew Math., t. 166, 1931, p. 201-203. Zbl0004.05104
  6. [6] Shanks ( D.) and Weinberger ( P. ) . - A quadratic field of prime discriminant requiring three generators for its class group and related theory, Acta Arithm., Warszawa, t. 21, 1972, p. 71-87. Zbl0249.12010MR309899
  7. [7] Shanks ( D. ) . - New types of quadratic fields having three invariants divisible by 3 , J. number theory, t. 4, 1972, p. 537-556. Zbl0265.12001MR313220
  8. [8] Shanks ( D.) and Serafin ( R. ) . - Quadratic fields with four invariants divisible by 3 , Math. of Comput . , t. 27, 1973, p. 183-187. Zbl0252.12001MR330097
  9. [9] Shanks ( D.) and Neild ( C.). - On the 3-rank of quadratic fields and the Euler product, Math. of Comput., t. 28, 1974, p. 279-291. Zbl0277.12005MR352042
  10. [10] Yamamoto ( Y. ) . - On unramified Galois extensions of quadratic number fields, Osaka J. Math., t. 7, 1970, p. 57-76 Zbl0222.12003MR266898

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