@article{BSMF_1986__114__3_0, author = {Tilouine, Jacques}, title = {Fonctions $L$ $p$-adiques \`a deux variables et ${\mathbb {Z}}_2^p$-extensions}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {3--66}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {114}, year = {1986}, doi = {10.24033/bsmf.2045}, zbl = {0606.14024}, language = {fr}, url = {http://www.numdam.org/articles/10.24033/bsmf.2045/} }
TY - JOUR AU - Tilouine, Jacques TI - Fonctions $L$ $p$-adiques à deux variables et ${\mathbb {Z}}_2^p$-extensions JO - Bulletin de la Société Mathématique de France PY - 1986 SP - 3 EP - 66 VL - 114 PB - Société mathématique de France UR - http://www.numdam.org/articles/10.24033/bsmf.2045/ DO - 10.24033/bsmf.2045 LA - fr ID - BSMF_1986__114__3_0 ER -
%0 Journal Article %A Tilouine, Jacques %T Fonctions $L$ $p$-adiques à deux variables et ${\mathbb {Z}}_2^p$-extensions %J Bulletin de la Société Mathématique de France %D 1986 %P 3-66 %V 114 %I Société mathématique de France %U http://www.numdam.org/articles/10.24033/bsmf.2045/ %R 10.24033/bsmf.2045 %G fr %F BSMF_1986__114__3_0
Tilouine, Jacques. Fonctions $L$ $p$-adiques à deux variables et ${\mathbb {Z}}_2^p$-extensions. Bulletin de la Société Mathématique de France, Tome 114 (1986), pp. 3-66. doi : 10.24033/bsmf.2045. http://www.numdam.org/articles/10.24033/bsmf.2045/
[1] Hauteur p-adique sur les courbes elliptiques, in Sém. de Théorie des Nombres, 1979-1980, Birkhaüser. | Zbl
. -[2] Notes p-adiques sur les courbes elliptiques, à paraître in J. de Crelle. | Zbl
, et . -[3]
. - Cours polycopié H. Weyl lectures, Princeton, 1979.[4] On the conjecture of Birch and Swinnerton-Dyer (inv. Math., vol. 39, 1977, p. 223-251). | MR | Zbl
and . -[5] On p-adic L functions and elliptic units (J. of the Austral. Math. Soc., vol. 26, 1978, p. 1-25). | MR | Zbl
and . -[6] Thesis, Princeton, 1983.
. -[7]
et . - Article à paraître.[8] Die Zetafunktion einer algebräischen Kurve vom Geschlechte Eins (Nachr. Akad. Wiss. Gött., 1953, p. 85-94). | MR | Zbl
. -[9] Séries d'Eisenstein et fonctions L de courbes elliptiques à multiplication complexe (J. de Crelle, vol. 327, 1981, p. 184-218). | MR | Zbl
et . -[10] On the conjecture of Birch and Swinnerton-Dyer (Inv. Math., vol. 72, 1983, p. 241-265. | MR | Zbl
. -[11] Arithmetic on elliptic curves with complex multiplication (Lect. Notes n° 776, Springer, 1980). | MR | Zbl
. -[12] p-adic interpolation of real analytic Eisenstein series (Ann. of Math., vol. 104, 1976, p. 459-571). | MR | Zbl
. -[13] p-adic L functions via moduli of elliptic curves, in Proc. of Symp. in Pure Math., Arcata, A.M.S., 1975. | MR | Zbl
. -[14] One parameter formal Lie groups over ℬ-adic integer rings (Ann. of Math., vol. 80, 1964, p. 464-484). | MR | Zbl
. -[15] On formal groups with formal complex multiplication in local fields (Ann. of Math., vol. 81, 1965, p. 380-387). | MR | Zbl
and . -[16] Groupe de Selmer d'une courbe elliptique à multiplication complexe (Comp. Math., vol. 43, 1981, p. 387-417). | Numdam | MR | Zbl
. -[17] Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer (Inv. Math., vol. 64, 1981, p. 455-470). | MR | Zbl
. -[18] Good reduction of abelian varieties (Ann. of Math., vol. 88, 1968, p. 492-517). | MR | Zbl
and . -[19] Introduction to the arithmetic theory of automorphic functions, Iwanami Shoten Publ., 1971. | Zbl
. -[20] On the zeta function of an abelian variety with complex multiplication (Ann. of Math., vol. 94, 1971, p. 504-533). | MR | Zbl
. -[21] Complex multiplication of abelian varieties and its application to number theory, Pub. of Math. Soc. of Japan, 1951.
and . -[22] On the extensions of local fields generated by torsion points of some formal groups (J. of Algebra, vol. 81, 1983, p. 58-69). | MR | Zbl
. -[23] Local constants, in Algebraic number fields, A. FRÖHLICH éd., Academic Press, 1980.
. -[24] 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). | MR
. -[25] On p-divisible groups, in Proceed. of the conf. in Driebergen, Springer, 1966. | Zbl
. -[26] 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] Elliptic functions according to Kronecker and Eisenstein, Erg. der Math. Wiss. n°88, Springer, 1976. | MR | Zbl
. -[28] Adeles and algebraic groups, Birkhäuser, 1980.
. -[29] On p-adic L functions with two variables (Ann. of Math., vol. 115, 1982, p. 411-449). | MR | Zbl
. -[30] p-adic measures on Galois groups (Inv. Math., vol. 76, 1984, p. 331-343). | MR | Zbl
. -[31] p-adic Hecke series for imaginary quadratic fields (Math. Sbornik, vol. 95, 1974, p. 357-383). | MR | Zbl
and . -Cité par Sources :