Fonctions $L$$p$-adiques à deux variables et ${\mathbb{Z}}_2^p$-extensions

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1. [1] BERNARDI (D.). — Hauteur p-adique sur les courbes elliptiques, in Sém. de Théorie des Nombres, 1979-1980, Birkhaüser. Zbl0475.14034
2. [2] BERNARDI (D.), GOLDSTEIN et STEPHENS (N.). — Notes p-adiques sur les courbes elliptiques, à paraître in J. de Crelle. Zbl0529.14018
3. [3] COATES (J.). — Cours polycopié H. Weyl lectures, Princeton, 1979. 
4. [4] COATES (J. and WILES (A.). — On the conjecture of Birch and Swinnerton-Dyer (inv. Math., vol. 39, 1977, p. 223-251). Zbl0359.14009MR57 #3134
5. [5] COATES (J.) and WILES (A.). — On p-adic L functions and elliptic units (J. of the Austral. Math. Soc., vol. 26, 1978, p. 1-25). Zbl0442.12007MR80a:12007
6. [6] DE SHALIT (E.). — Thesis, Princeton, 1983. 
7. [7] DE SHALIT (E.) et YAGER (R.). — Article à paraître. 
8. [8] DEURING (M.). — Die Zetafunktion einer algebräischen Kurve vom Geschlechte Eins (Nachr. Akad. Wiss. Gött., 1953, p. 85-94). Zbl0064.27401MR15,779d
9. [9] GOLDSTEIN (C.) et SCHAPPACHER (N.). — Séries d'Eisenstein et fonctions L de courbes elliptiques à multiplication complexe (J. de Crelle, vol. 327, 1981, p. 184-218). Zbl0456.12007MR82m:12007
10. [10] GREENBERG (R.). — On the conjecture of Birch and Swinnerton-Dyer (Inv. Math., vol. 72, 1983, p. 241-265. Zbl0546.14015MR85c:11052
11. [11] GROSS (B.). — Arithmetic on elliptic curves with complex multiplication (Lect. Notes n° 776, Springer, 1980). Zbl0433.14032MR81f:10041
12. [12] KATZ (N.). — p-adic interpolation of real analytic Eisenstein series (Ann. of Math., vol. 104, 1976, p. 459-571). Zbl0354.14007MR58 #22071
13. [13] KATZ (N.). — p-adic L functions via moduli of elliptic curves, in Proc. of Symp. in Pure Math., Arcata, A.M.S., 1975. Zbl0317.14009MR55 #5635
14. [14] LUBIN (J.). — One parameter formal Lie groups over ℬ-adic integer rings (Ann. of Math., vol. 80, 1964, p. 464-484). Zbl0135.07003MR29 #5827
15. [15] LUBIN (J.) and TATE (J.). — On formal groups with formal complex multiplication in local fields (Ann. of Math., vol. 81, 1965, p. 380-387). Zbl0128.26501MR30 #3094
16. [16] PERRIN-RIOU (B.). — Groupe de Selmer d'une courbe elliptique à multiplication complexe (Comp. Math., vol. 43, 1981, p. 387-417). Zbl0479.14019MR83i:14031
17. [17] RUBIN (K.). — Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer (Inv. Math., vol. 64, 1981, p. 455-470). Zbl0506.14039MR83f:10034
18. [18] SERRE J.-P. and TATE (J.). — Good reduction of abelian varieties (Ann. of Math., vol. 88, 1968, p. 492-517). Zbl0172.46101MR38 #4488
19. [19] SHIMURA (G.). — Introduction to the arithmetic theory of automorphic functions, Iwanami Shoten Publ., 1971. Zbl0221.10029
20. [20] SHIMURA (G.). — On the zeta function of an abelian variety with complex multiplication (Ann. of Math., vol. 94, 1971, p. 504-533). Zbl0242.14009MR44 #5287
21. [21] SHIMURA (G.) and TANTYAMA (Y.). — Complex multiplication of abelian varieties and its application to number theory, Pub. of Math. Soc. of Japan, 1951. 
22. [22] SOŨTO-MEÑENDEZ (J.-M.). — On the extensions of local fields generated by torsion points of some formal groups (J. of Algebra, vol. 81, 1983, p. 58-69). Zbl0513.14027MR84k:12007
23. [23] TATE (J.). — Local constants, in Algebraic number fields, A. FRÖHLICH éd., Academic Press, 1980. 
24. [24] TATE (J.). — Algorithm for determining the type of a singular fiber in an elliptic pencil, in Modular functions of one variable, IV (Lect. Notes n° 476, Springer, 1970). MR52 #13850
25. [25] TATE (J.). — On p-divisible groups, in Proceed. of the conf. in Driebergen, Springer, 1966. Zbl0157.27601
26. [26] WEIL (A.). — On a certain type of characters of the idele-class group of an algebraic number field, in uvres Scientifiques, 1955 c, tome 2, Springer, 1978. 
27. [27] WEIL (A.). — Elliptic functions according to Kronecker and Eisenstein, Erg. der Math. Wiss. n°88, Springer, 1976. Zbl0318.33004MR58 #27769a
28. [28] WEIL (A.). — Adeles and algebraic groups, Birkhäuser, 1980. 
29. [29] YAGER (R.). — On p-adic L functions with two variables (Ann. of Math., vol. 115, 1982, p. 411-449). Zbl0496.12010MR84b:14020
30. [30] YAGER (R.). — p-adic measures on Galois groups (Inv. Math., vol. 76, 1984, p. 331-343). Zbl0555.12006MR86b:11045
31. [31] MANIN (Y.) and VISHIK (M.). — p-adic Hecke series for imaginary quadratic fields (Math. Sbornik, vol. 95, 1974, p. 357-383). Zbl0352.12013MR51 #8078

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