Théorie d'Iwasawa de l'algèbre de Hecke ordinaire et théorie d'Iwasawa classique

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1. [1] M. Atiyah, I. Macdonald.- Notes on Commutative algebra, Math. Oxford Institute, 1966. 
2. [2] J. Coates, A. Wiles.- On p-adic L functions and elliptic units, J. Austr. Math. Soc. (Series A) vol. 26 (1978), 1-25. Zbl0442.12007MR510581
3. [3] K. Doi, M. Ohta.- On some congruences between cusp forms on Γo(N) p. 91-105, in Modular Functions of one variable V, Bonn1976, Lect. Notes in Math. vol. 601, Springer-Verlag, 1977. Zbl0361.10023
4. [4] E. Hecke.-Ueber Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Produktenturcklung. II. Math. Ann. Bd. 114 (1937), 316-351, reproduit in Math. Werke, p. 672-707, Göttingen, Vandenhoek & Ruprecht, 1959. Zbl0016.35503MR1513142
5. [5] H. Hida.- Kummer's criterion for the special values of Hecke L -functions of imaginary quadratic fields and conqruences amonq cusp forms, Inv. Math.66 (1982), 415-459. Zbl0485.10019MR662601
6. [6] H. Hida.- Iwasawa modules attached to congruences of cusp forms, à paraître dans Ann. Scient. de l'E.N.S. Zbl0607.10022
7. [7] H. Hida.- Galois representations into GL2(Zp [[X]]) attached to ordinary cusp forms, à paraître dans Inv. Math. Zbl0612.10021
8. [8] N. Katz.- Higher congruences between modular forms, Ann. of Math.101 (1975), 332-367. Zbl0356.10020MR417059
9. [9] S. Lang.- Cyclotomic Fields, G.T.M., Springer-Verlag1978. Zbl0395.12005MR485768
10. [10] M. Ohta.- On l-adic representations attached to automorphic forms, Japan. J. Math.8 (1982), 1-47. Zbl0505.10012MR722520
11. [11] B. Perrin-Riou.- Thèse d'Etat, Orsay1984. 
12. [12] K. Ribet.- A modular construction of unramified extensions of Q(μp), Inv. Math.34 (1976), 151-162. Zbl0338.12003
13. [13] G. Shimura.- Introduction to the arithmetic Theory of automorphic functions, Princeton University Press, 1971. Zbl0221.10029MR314766
14. [14] J. Tilouine.- Un sous-groupe p-divisible de la jacobienne de X1(Npr) comme module sur l'algèbre de Hecke, à paraître au Bull. de la S.M.F. Zbl0677.14006
15. [15] J. Tilouine.- Théorie d'Iwasawa classique et de l'algèbre de Hecke ordinaire, à paraître. Zbl0663.12008
16. [16] A. Weil.- On a certain type of characters of the idèle-class group of an algebraic number field. 1955c in Oeuvres Scientifiques vol. II, Springer-Verlag, 1980. Zbl0073.26303
17. [17] R. Yager.- On p-adic L-functions with two variables, Ann. of Math.115 (1982), 411-449. Zbl0496.12010
18. [16] A. Weil.- On a certain type of characters of the idele-class groupe of an algebraic number field. 1955c in Oeuvres Scientifiques vol. II, Springer-Verlag, 1980. 
19. [17] R. Yager.- On p-adic L-functions with two variables, Ann. of Math.115 (1982), 411-449. Zbl0496.12010