Remarques sur l'invariant mu d'Iwasawa dans le cas CM

Roland Gillard

Journal de théorie des nombres de Bordeaux (1991)

  • Volume: 3, Issue: 1, page 13-26
  • ISSN: 1246-7405

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Gillard, Roland. "Remarques sur l'invariant mu d'Iwasawa dans le cas CM." Journal de théorie des nombres de Bordeaux 3.1 (1991): 13-26. <http://eudml.org/doc/93529>.

@article{Gillard1991,
author = {Gillard, Roland},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {Iwasawa -invariant; CM-fields; q-expansion of p-adic Eisenstein series},
language = {fre},
number = {1},
pages = {13-26},
publisher = {Université Bordeaux I},
title = {Remarques sur l'invariant mu d'Iwasawa dans le cas CM},
url = {http://eudml.org/doc/93529},
volume = {3},
year = {1991},
}

TY - JOUR
AU - Gillard, Roland
TI - Remarques sur l'invariant mu d'Iwasawa dans le cas CM
JO - Journal de théorie des nombres de Bordeaux
PY - 1991
PB - Université Bordeaux I
VL - 3
IS - 1
SP - 13
EP - 26
LA - fre
KW - Iwasawa -invariant; CM-fields; q-expansion of p-adic Eisenstein series
UR - http://eudml.org/doc/93529
ER -

References

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  1. [Ba] D. Barsky, Sur la norme des séries d'Iwasawa, Groupe d'étude ultramétrique, 10 ème année expo. 13, 44 p. 
  2. [Co] J. Coates, On p-adic L functions, sém. Bourbaki701 (1988), astérisque177-178 (1989). Zbl0706.11064MR1040567
  3. [D] P. Deligne, Valeurs de fonctions L et périodes d'intégrales, proceedings of symp. math. in pure Math. 33 (1979), 313-346. Zbl0449.10022MR546622
  4. [F] W.B. Ferrero and L. Washington, The Iwasawa invariant μp vanishes for abelian number fields, Ann. Math.109 (1979), 377-395. Zbl0443.12001
  5. [G1] R. Gillard, Fonctions L.p-adiques des corps quadratiques imaginaires et de leurs extensions abéliennes, J. reine ang. Math.358 (1985), 76-91. Zbl0551.12011MR797675
  6. [G2] R. Gillard, Relations monomiales entre périodes p-adiques, Inv. Math.93 (1988), 355-381. Zbl0658.14023MR948105
  7. [H] H. Hida, On p-adic L- functions of GL(2) × GL(2) over totally real fields, preprint. Zbl0725.11025MR1137290
  8. [HT] H. Hida and J. Tilouine, Anticyclotomic Katz p-adic L functions and congruence modules, à paraître. Zbl0778.11061
  9. [I1] Iwasawa K., On Γ-extensions of algebraic number fields,, Bull. Am. Math. Soc.65 (1959), 183-226. Zbl0089.02402
  10. [12] Iwasawa K., On the μ invariant of Zl-extensions in Number Theory, algebraic geometry and commutative algebra, KinokonuyaTokyo (1973), 1-11. Zbl0281.12005
  11. [K1] N.M. Katz, Serre-Tate local moduli,, In " Surfaces algébriques", Lec. Notes in Math.868, 138-202, Springer1978. Zbl0477.14007MR638600
  12. [K2] N.M. Katz, p-adic L- functions for CM fields, Invent. Math.49 (1978), 199-297. Zbl0417.12003MR513095
  13. [K3] N.M. Katz, p-adic L- functions, Serre-Tate local moduli and ratio of solutions of differential equations, Proc. Int. Congress Math. Helsinki (1978), 365-371. Zbl0439.12010MR562628
  14. [K4] N.M. Katz, Another look at p-adic L -functions for totally real fields, Math. Ann.255 (1981), 33-43. Zbl0497.14006MR611271
  15. [Sc] L. Schneps, On the μ-invariant of p-adic L-functions attached to Elliptic curves with complex multiplication, J. Nb. Th.25 (1987), 20-33. Zbl0615.12018
  16. [Si] W. Sinnott, On the μ-invariant of the Γ-transform of a rational function, Inv. Math.75 (1984), 273-282—. Zbl0531.12004

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