Classes d'idéaux et classes de diviseurs

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1. [Co 1] Coates ( J.). - On K2 and some classical conjectures in algebraic number theory, Annals of Math., t. 95, 1972, p. 99-116. Zbl0245.12005MR360523
2. [Co 2] Coates ( J.). - K-theory and Iwasawa's analogue of the jacobian, "Algebraic K-theory, II", p. 502-520. - Berlin, Springer-Verlag, 1973 (Lecture Notes in Mathematics, 342). Zbl0284.12006MR406977
3. [Co 3] Coates ( J.). - p-adic L-functions and Iwasawa's theory, "Conference on algebraic number theory and class field theory" [1976. Tokyo]. 
4. [Co 4] Coates ( J.). - Fonctions zéta partielles d'un corps de nombres totalement réel, Séminaire Delange-Pisot-Poitou : Théorie des nombres, 16e année, 1974/75, n° 1, 9 p. Zbl0349.12008
5. [C-L] Coates ( J.) and Lichtenbaum ( S.). - On l-adic zeta functions, Annals of Math., t. 98, 1973, p. 498-550. Zbl0279.12005MR330107
6. [C-S 1] Coates ( J.) and Sinnott ( W.). - On p-adic L-functions over real quadratic fields, Invent. Math., Berlin, t. 25, 1974, p. 253-279. Zbl0305.12008MR354615
7. [C-S 2] Coates ( J.) and Sinnott ( W.). - An analogue of Stickelberger's theorem for higher K-groups, Invent. Math., Berlin, t. 24, 1974, p. 149-161. Zbl0282.12006MR369322
8. [C-S 3] Coates ( J.) and Sinnott ( W.). - Integrality properties of the values of partial zeta functions, Proc. London math. Soc., t. 34, 1977, p. 365-384. Zbl0354.12009MR439815
9. [C-W 1] Coates ( J.) and Wiles ( A.). - Explicit reciprocity laws, "Journées arithmétiques de Caen [1976. Caen]", Astérisque, 1977, p. 7. Zbl0358.12001MR460333
10. [C-W 2] Coates ( J.) and Wiles ( A.). - On the conjecture of Birch and Swinnerton-Dyer, Invent. Math., Berlin, t. 39, 1977, p. 223-251. Zbl0359.14009MR463176
11. [C-W 3] Coates ( J.) and Wiles ( A.). - Kummer's criterion for Hurwitz numbers (à paraître). Zbl0369.12009
12. [Iw 1] Iwasawa ( K.). - On Γ-extensions of algebraic number fields, Bull. Amer. math. Soc., t. 65, 1959, p. 183-226. Zbl0089.02402
13. [Iw 2] Iwasawa ( K.). - A note on the group of units of an algebraic number field, J. Math. pures et appl., t. 35, 1956, p. 189-192. Zbl0071.26504MR76803
14. [Iw 3] Iwasawa ( K.). - Sheaves for algebraic number fields, Annals of Math., t. 69, 1959, p. 408-413. Zbl0090.02903MR124318
15. [Iw 4] Iwasawa ( K.). - On some properties of Γ-finite modules, Annals of Math., t. 70, 1959, p. 291-312. Zbl0202.33102
16. [Iw 5] Iwasawa ( K.). - On the theory of cyclotomic fields, Annals of Math., t. 70, 1959, p. 530-561. Zbl0093.04403MR124320
17. [Iw 6] Iwasawa ( K.). - On some invariants of cyclotomic fields, Amer. J. Math., t. 80, 1958, p. 773-783. Zbl0084.04101MR124317
18. [Iw 7] Iwasawa ( K.). - A class number formula for cyclotomic fields, Annals of Math., t. 76, 1962, p. 171-179. Zbl0125.02003MR154862
19. [Iw 8] Iwasawa ( K.). - On some modules in the theory of cyclotomic fields, J. Math. Soc. Japan, t. 16, 1964, p. 42-82. Zbl0125.29207MR215811
20. [Iw 9] Iwasawa ( K.). - Some results in the theory of cyclotomic fields, "Theory of numbers", p. 66-69. - Providence. American mathematical Society, 1965 (Proceedings of Symposia in pure Mathematics, 8). Zbl0141.05001MR179151
21. [Iw 10] Iwasawa ( K.). - On explicit formulas for the norm residue symbol, J. Math. Soc. Japan, t. 20, 1968, p. 151-165. Zbl0256.12013MR229609
22. [Iw 11] Iwasawa ( K.). - On p-adic L-functions, Annals of Math., t. 89, 1969, p. 198-205. Zbl0186.09201MR269627
23. [Iw 12] Iwasawa ( K.). - On Zl-extensions of algebraic number fields, Annals of Math., t. 98, 1973, p. 246-326. Zbl0285.12008MR349627
24. [Iw 13] Iwasawa ( K.). - A note on cyclotomic fields, Invent. Math., Berlin, t. 36, 1976, p. 115-123. Zbl0342.12004MR432587
25. [Iw 14] Iwasawa ( K.). - Lectures on p-adic L-functions. - Princeton, Princeton University Press, 1972 (Annals of Mathematics Studies, 74). Zbl0236.12001MR360526
26. [KL 1] Kubert ( D.) and Lang ( S.).-Units in the modular function field, I, Math. Annalen, t. 218, 1975, p. 67-96. Zbl0311.14005MR437496
27. [KL 2] Kubert ( D.) and Lang ( S. ). - Units in the modular function field, II, Math. Annalen, t. 218, 1975, p. 175-189. Zbl0311.14005MR437497
28. [KL 3] Kubert ( D.) and Lang ( S.). - Units in the modular function field, III, Math. Annalen, t. 218, 1975, p. 273-285. Zbl0311.14005MR437498
29. [KL 4] Kubert ( D.) and Lang ( S.). - Units in the modular function field, IV, Math. Annalen, t. 227, 1977, p. 223-242. Zbl0331.10012MR498393
30. [KL 5] Kubert ( D.) and Lang ( S.). - Distributions on toroidal groups, Math. Z., t. 148, 1976, p. 33-51. Zbl0324.10021MR401652
31. [KL 6] Kubert ( D.) and Lang ( S.). - The p-primary component of the cuspidal divisor class group on the modular curve X(p) , Math. Annalen (à paraître). Zbl0354.12016
32. [KL 7] Kubert ( D.) and Lang ( S.). - The index of Stickelberger ideals of order 2 and cuspidal class numbers (à paraître). Zbl0371.12023
33. [KL 8] Kubert ( D.) and Lang ( S. ) . - Stickelberger ideals (à paraître). 
34. [KL 9] Kubert ( D.) and Lang ( S.). - Iwasawa theory in the modular tower (à paraître). 
35. [Ku-L] Kubota ( T.) and Leopoldt ( H.). - Eine p-adische Theorie der Zetawerte, J. für reine und angew. Math., t. 214/215, 1964, p. 328-339. Zbl0186.09103MR163900
36. [L 1] Lang ( S.). - Algebraic numbet theory. - Reading, Addison-Wesley publishing Company, 1970. Zbl0211.38404MR282947
37. [L 2] Lang ( S.). - Elliptic functions. - Reading, Addison-Wesley publishing Company, 1973. Zbl0316.14001MR409362
38. [L 3] Lang ( S.). - Introduction to modular forms. - Berlin, Springer-Verlag, 1976 (Grundlehren der mathematischen Wissenschaften, 222). Zbl0344.10011MR429740
39. [L 4] Lang ( S. ). - Introduction to cyclotomic fields (à paraître). 
40. [Le 1] Leopoldt ( H.W.). - Zur Geschlechtertheorie in abelschen Zahlkörpern, Math. Nach., t. 9, 1953, p. 351-362. Zbl0053.35502MR56032
41. [Le 2] Leopoldt ( H.W.). - Über Einheitengruppe und Klassenzahl reeller Zahlkörper, Abh. Deutschen Akad. Wiss. Berlin, Kl. Math., 1953, n° 2, 48 p. Zbl0059.03501MR67927
42. [Le 3] Leopoldt ( H.W.). - Über ein Fundamentalproblem der Theorie der Einheiten algebraischer Zahlkörper, Sitzungsb. bayerischen Akademie Wiss., 1956, p. 41-48. Zbl0218.12006MR87693
43. [Le 4] Leopoldt ( H.W.). - Eine Verallgemeinerung der Bernoullischen Zahlen, Abh. Math. Sem. Hamburg, t. 22, 1958, p. 131-140. Zbl0080.03002MR92812
44. [Le 5] Leopoldt ( H.W.). - Zur Struktur der l-Klassengruppe galoisscher Zahlkörper, J. für reine und angew. Math., t. 199, 1958, p. 165-174. Zbl0082.25402MR96633
45. [Le 6] Leopoldt ( H.W.). - Über Klassenzahlprimteiler reeller abelscher Zahlkörper ..., Abh. Math. Sem. Hamburg, t. 23, 1959, p. 36- 47. Zbl0086.03103MR103184
46. [Le 7] Leopoldt ( H.W.). - Über die Hauptordnung der ganzen Elemente eines abelschen Zahlkörpers, J. für reine und angew. Math., t. 201, 1959,p. 119-149. Zbl0098.03403MR108479
47. [Le 8] Leopoldt ( H.W.). - Über Fermatquotienten von Kreiseinheiten und Klassenzahlformeln modulo p , Rend. Circ. Mat. Palermo, t. 9, 1960, p. 39-50. Zbl0098.03501MR130868
48. [Le 9] Leopoldt ( H.W.). - Zur Approximation des p-adischen Logarithmus, Abh. Math. Sem. Hamburg, t. 25, 1961, p. 77-81. Zbl0099.02603MR125838
49. [Le 10] Leopoldt ( H.W.). - Zur Arithmetik in abelschen Zahikörpern, J. für reine und angew. Math., t. 209, 1962, p. 54-71. Zbl0204.07101MR139602
50. [Li] Lichtenbaum ( S. ). - Values of zeta functions, etale cohomology, and algebraic K-theory, "Algebraic K-theory, II", p. 489-501. - Berlin, Springer-Verlag, 1973 (Lecture Notes in Mathematics, 342). Zbl0284.12005MR406981
51. [Lu] Lubin ( J.). - One parameter formal Lie groups over p-adic integer rings, Annals of Math., t. 80, 1964, p. 464-484. Zbl0135.07003MR168567
52. [L-T] Lubin ( J.) and Tate ( J.). - Formal complex multiplication in local fields, Annals of Math., t. 8, 1965, p. 380-387. Zbl0128.26501MR172878
53. [No] Novikov ( A.P.). - Sur le nombre de classes des extensions abéliennes d'un corps quadratique imaginaire [en russe], Izv. Akad. Nauk SSSR, Ser. Mat., t. 31, 1967, p. 717-726. 
54. [Mi] Milnor ( J. ). - Introduction to algebraic K-theory. - Princeton, Princeton University Press, 1971 (Annals of Mathematics Studies, 72). Zbl0237.18005MR349811
55. [Qu 1] Quillen ( D. ) . - Finite generation of the groups Ki of rings of algebraic integers, "Algebraic K-theory, I", p. 179-198. - Berlin, Springer-Verlag, 1973 (Lecture Notes in Mathematics, 341). Zbl0355.18018MR349812
56. [Qu 2] Quillen ( D.). - Higher algebraic K-theory I, "Algebraic K-theory, I", p. 85-147. - Berlin, Springer-Verlag, 1973 (Lecture Notes in Mathematics, 341). Zbl0292.18004MR338129
57. [Ri] Ribet ( K.). - A modular construction of unramified p-extensions of Q(μp) , Invent. Math., Berlin, t. 34, 1976, p. 151-162. Zbl0338.12003
58. [Rob] Robert ( G. ) . - Nombres de Hurwitz et unités elliptiques (à paraître). 
59. [Roh] Rohrlich ( D. ) . - Modular functions and the Fermat curve, Invent. Math., Berlin, 1977 (à paraître). 
60. [Se 1] Serre ( J.-P.). - Classes des corps cyclotomiques, d'après Iwasawa, Séminaire Bourbaki, 11e année, 1958/59, n° 174, 11 p. Zbl0119.27603
61. [Se 2] Serre ( J.-P.). - Formes modulaires et fonctions zeta p-adiques, "Modular functions of one variable, III", p. 191-268. - Berlin, Springer-Verlag, 1973 (Lecture Notes in Mathematics, 350). Zbl0277.12014MR404145
62. [Si] Siegel ( C.L.). - Über die Fourierschen Koeffizienten von Modulformen, Göttingen Nachrichten, t. 3, 1970, p. 15-56. Zbl0225.10031MR285488
63. [Si] Sinnott ( W.). - The index of the Stickelberger ideal (à paraître). 
64. [St] Stark ( H.). - L-functions at s = 1 , III : Totally real fields and Hilbert's twelfth problem (à paraître). Zbl0348.12017
65. [Ta 1] Tate ( J. ). - Letter to Iwasawa on a relation between K2 and Galois cohomology, "Algebraic K-theory, II", p. 524-527. - Berlin, Springer-Verlag, 1973 (Lecture Notes in Mathematics, 342). Zbl0284.12004MR429836
66. [Ta 2] Tate ( J.). - Relations between K2 and Galois cohomology, Invent. Math., Berlin, t. 36, 1976, p. 257-274. Zbl0359.12011MR429837
67. [Ta 3] Tate ( J.). - Symbols in arithmetic, "Actes du Congrès international des Mathématiciens [1970. Nice]", Tome 1, p. 201-211. - Paris, Gauthier-Villars, 1971. Zbl0229.12013MR422212