Travaux de Ferrero et Washington sur le nombre de classes d'idéaux des corps cyclotomiques

Joseph Oesterlé

Séminaire Bourbaki (1978-1979)

  • Volume: 21, page 170-182
  • ISSN: 0303-1179

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Oesterlé, Joseph. "Travaux de Ferrero et Washington sur le nombre de classes d'idéaux des corps cyclotomiques." Séminaire Bourbaki 21 (1978-1979): 170-182. <http://eudml.org/doc/109934>.

@article{Oesterlé1978-1979,
author = {Oesterlé, Joseph},
journal = {Séminaire Bourbaki},
keywords = {non-p-part of the class number; abelian extension; Iwasawa invariant},
language = {fre},
pages = {170-182},
publisher = {Springer-Verlag},
title = {Travaux de Ferrero et Washington sur le nombre de classes d'idéaux des corps cyclotomiques},
url = {http://eudml.org/doc/109934},
volume = {21},
year = {1978-1979},
}

TY - JOUR
AU - Oesterlé, Joseph
TI - Travaux de Ferrero et Washington sur le nombre de classes d'idéaux des corps cyclotomiques
JO - Séminaire Bourbaki
PY - 1978-1979
PB - Springer-Verlag
VL - 21
SP - 170
EP - 182
LA - fre
KW - non-p-part of the class number; abelian extension; Iwasawa invariant
UR - http://eudml.org/doc/109934
ER -

References

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  1. [1] J. Coates - p-adic L-functions and Iwasawa's theory, Algebraic Number Fields, Academic Press, London, 1977, 269-353. Zbl0393.12027MR460282
  2. [2] R. Ernvall and T. Metsänkylä - Cyclotomic invariants and E-irregular primes, Math. of Comp., 32(1978). Zbl0381.12002MR482273
  3. [3] B. Ferrero - Iwasawa invariants of abelian number fields, Math. Ann., 234 (1978), 9-24. Zbl0347.12004MR485777
  4. [4] B. Ferrero and L. Washington - The Iwasawa invariant μp vanishes for abelian number fields, Annals of Math., à paraître. Zbl0443.12001
  5. [5] R. Gillard - Extensions abéliennes et répartition modulo 1 , dans "Journées arithmétiques de Marseille", Astérisque, vol. 61 , 1979, à paraître. Zbl0408.12010
  6. [6] H. Hasse - Über die Klassenzahl abelscher Zahlkörper, Akademie-VerlagBerlin, 1952. Zbl0046.26003MR49239
  7. [7] K. Iwasawa - A note on class numbers of algebraic number fields, Abh. Math. Sem. Hamb., 20 (1956), 257-258. Zbl0074.03002MR83013
  8. [8] K. Iwasawa - On some invariants of cyclotomic fields, Amer. J. Math., 80(1958), 773-783 ; erratum81(1959), 280. Zbl0084.04101MR124317
  9. [9] K. Iwasawa - On Γ-extensions of algebraic number fields, Bull. Amer. Math. Soc., 65(1959), 183-226. Zbl0089.02402
  10. [10] K. Iwasawa - On p-adic L-functions, Ann. of Math., 89(1969), 198-205. Zbl0186.09201MR269627
  11. [11] K. Iwasawa - On some infinite abelian extensions of algebraic number fields, Actes, Congrès Intern.Math., 1970, tome 1, 391-394. Zbl0232.12004MR422205
  12. [12] K. Iwasawa - Lectures on p-adic L-functions, Princeton University Press, 1972. Zbl0236.12001MR360526
  13. [13] K. Iwasawa - On the μ-invariants of Zp-extensions, Number Theory, Algebraic Geometry and Commutative Algebra, in honour of Y. Akizuki, Kinokuniya, Tokyo, 1973, 1-11. Zbl0281.12005
  14. [14] K. Iwasawa and C. Sims - Computations of invariants in the theory of cyclotomic fields, J. Math. Soc. Japan, 18(1966), 86-96. Zbl0141.04901MR202700
  15. [15] W. Johnson - On the vanishing of the Iwasawa invariant μP for p &lt; 8000 , Math. Comp., 27(1973), 387-396. Zbl0281.12006
  16. [16] W. Johnson - Irregular primes and cyclotomic invariants, Math. Comp., 29(1975), 653-657. Zbl0302.10020MR376606
  17. [17] L. Kuipers and H. Niederreiter - Uniform distribution of sequences, Wiley-Interscience, 1974. Zbl0281.10001MR419394
  18. [18] J.-P. Serre - Classes des corps cyclotomiques, Séminaire Bourbaki, Exposé 174, Décembre 1958, W. Benjamin/Addison-Wesley, N.Y. Zbl0119.27603
  19. [19] S. Wagstaff, Jr. - The irregular primes to 125 000 , Math. of Comp., 32 (1978), 583-591. Zbl0377.10002MR491465
  20. [20] L. Washington - Class numbers and Zp-extensions, Math. Ann., 214(1975), 177- 193. Zbl0302.12007MR364182
  21. [21] L. Washington - The non-p-part of the class number in a cyclotomic Zp-extension, Invent. Math., 49(1978), 87-97. Zbl0403.12007MR511097

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