Quelques aspects de la théorie des corps cubiques

Pierre Barrucand

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1974-1975)

  • Volume: 16, Issue: 1, page 1-10

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Barrucand, Pierre. "Quelques aspects de la théorie des corps cubiques." Séminaire Delange-Pisot-Poitou. Théorie des nombres 16.1 (1974-1975): 1-10. <http://eudml.org/doc/110878>.

@article{Barrucand1974-1975,
author = {Barrucand, Pierre},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
language = {fre},
number = {1},
pages = {1-10},
publisher = {Secrétariat mathématique},
title = {Quelques aspects de la théorie des corps cubiques},
url = {http://eudml.org/doc/110878},
volume = {16},
year = {1974-1975},
}

TY - JOUR
AU - Barrucand, Pierre
TI - Quelques aspects de la théorie des corps cubiques
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1974-1975
PB - Secrétariat mathématique
VL - 16
IS - 1
SP - 1
EP - 10
LA - fre
UR - http://eudml.org/doc/110878
ER -

References

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  1. [1] Barrucand ( P.) and Cohn ( H.). - A rational genus, class number divisibility and unit theory for pure cubic fields, J. Number Theory, t. 2, 1970, p. 7- 21. Zbl0192.40001MR249398
  2. [2] Barrucand ( P.) and Cohn ( H.). - Remarks on principal factors in a relative cubic field, J. Number Theory, t. 3, 1971, p. 226-239. Zbl0218.12002MR276197
  3. [3] Barrucand ( P.), Williams ( H.C.) and Baniuk ( L.). - A computational technique for determining the class number of a pure cubic fields (sous presse). Zbl0324.12005
  4. [4] Berwick ( W.E.H.). - The classification of ideal numbers that de pend on a cubic irrationality, Proc. London math. Soc., Series 2, t. 12, 1913, p. 393- 429. JFM44.0245.02
  5. [5] Berwick ( W.E.H. ). - On cubic fields with a given discriminant, Proc. London math. Soc., Series 2, t. 23, 1925, p. 359-378. Zbl50.0113.04JFM50.0113.04
  6. [6] Callahan ( T.). - Thèse Toronto1973. 
  7. [7] Callahan ( T.). - The 3-class groups of non galois cubic fields, II, Mathematika, London, t. 21, 1974, p. 168-188. Zbl0312.12009MR366876
  8. [8] Gerth III ( F.). - Rank of Sylow 3-subgroups of ideal class groups of certain cubic fields, Bull. Amer. math. Soc., t. 79, 1973, p. 521-525. Zbl0268.12001MR314797
  9. [9] Gerth III ( F.). - On 3-class groups of pure cubic fields (sous presse). Zbl0334.12011
  10. [10] Hasse ( H.). - Arithmetische Theorie der kubische Zahlkörper auf klassenkörpertheoretischer Grundlage, Math. Z., t. 31, 1930, p. 565-582. Zbl56.0167.02MR1545136JFM56.0167.02
  11. [11] Honda ( T.). - Pure cubic fields whose class numbers are multiples of three, J. Number Theory, t. 3, 1971, p. 7-12. Zbl0222.12004MR292795
  12. [12] Jaeger ( C.). - A character symbol for primes relative to a cubic field, Amer. J. of Math., t. 52, 1930, p. 85-96. Zbl56.0888.03MR1506745JFM56.0888.03
  13. [13] Kobayashi ( S.). - On the 3-rank of the ideal class groups of certain pure cubic fields, J. of Fac. of Sc., Univ. of Tokyo, Section 1, t. 20, 1973, p. 209-216, et t. 21, 1974, p. 263-269. Zbl0271.12003MR325572
  14. [14] Markoff ( A.). - Sur les nombres entiers dépendant d'une racine cubique, Mem. Acad. Imp. Sc. St Pétersbourg, Série 8, t. 38, 1892, p. 1-37. JFM24.0182.03
  15. [15] Wahlin ( G.E.). - The factorization of the rational primes in a cubic demain, Amer. J. of Math., t. 44, 1922, p. 191-203. MR1506471JFM48.0178.03

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