@article{ASENS_1993_4_26_2_189_0, author = {Hida, H. and Tilouine, J.}, title = {Anti-cyclotomic {Katz} $p$-adic $L$-functions and congruence modules}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {189--259}, publisher = {Elsevier}, volume = {Ser. 4, 26}, number = {2}, year = {1993}, doi = {10.24033/asens.1671}, zbl = {0778.11061}, mrnumber = {1209708}, language = {en}, url = {http://archive.numdam.org/articles/10.24033/asens.1671/} }
TY - JOUR AU - Hida, H. AU - Tilouine, J. TI - Anti-cyclotomic Katz $p$-adic $L$-functions and congruence modules JO - Annales scientifiques de l'École Normale Supérieure PY - 1993 SP - 189 EP - 259 VL - 26 IS - 2 PB - Elsevier UR - http://archive.numdam.org/articles/10.24033/asens.1671/ DO - 10.24033/asens.1671 LA - en ID - ASENS_1993_4_26_2_189_0 ER -
%0 Journal Article %A Hida, H. %A Tilouine, J. %T Anti-cyclotomic Katz $p$-adic $L$-functions and congruence modules %J Annales scientifiques de l'École Normale Supérieure %D 1993 %P 189-259 %V 26 %N 2 %I Elsevier %U http://archive.numdam.org/articles/10.24033/asens.1671/ %R 10.24033/asens.1671 %G en %F ASENS_1993_4_26_2_189_0
Hida, H.; Tilouine, J. Anti-cyclotomic Katz $p$-adic $L$-functions and congruence modules. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 26 (1993) no. 2, pp. 189-259. doi : 10.24033/asens.1671. http://archive.numdam.org/articles/10.24033/asens.1671/
[D1] Equations différentielles à points singuliers réguliers (Lec. Notes in Math., No. 163, Springer, 1970). | MR | Zbl
,[DH] On a Certain Congruence of Cusp Forms and the Special Values of their Dirichlet Series, unpublished, 1979.
and ,[DR] Values of Abelian L-functions at Negative Integers Over Totally Real Field (Invent. Math., Vol. 59, 1980, pp. 227-286). | MR | Zbl
and ,[G] Holomorphic Hilbert Modular Forms, Wadsworth & Brooks/Cole, 1990. | MR | Zbl
,[GJ] A Relation Between Automorphic Representations of GL(2) and GL(3) (Ann. Scient. Éc. Norm. Sup., 4e série, T. 11, 1978, pp. 471-542). | Numdam | MR | Zbl
and ,[H1] On p-adic L-functions of GL(2) × GL(2) Over Totally Real Fields (Ann. Institut Fourier, Vol. 41, 1991, pp. 311-391). | Numdam | MR | Zbl
,[H2] On p-adic Hecke Algebras for GL2 Over Totally Real Fields (Ann. of Math., Vol. 128, 1988, pp. 295-384). | MR | Zbl
,[H3] On Nearly Ordinary Hecke Algebras for GL(2) Over Totally Real Fields (Advanced Study in Pure Math., Vol. 17, 1989, pp. 139-169). | MR | Zbl
,[H4] Congruences of Cusp Forms and Special Values of their Zeta Functions (Inventiones Math., Vol. 63, 1981, pp. 225-261). | MR | Zbl
,[H5] p-adic L-Functions for Base Change Lifts of GL2 to GL3, to appear in Proc. Ann Arbor Conference on Automorphic forms, Shimura Varieties, and L-functions, 1988, vol. II, pp. 93-142, Perspectives in Math., 11, 1990. | Zbl
,[H6] Modules of Congruence of Hecke Algebras and L-functions Associated with Cusp Forms (Amer. J. Math., Vol. 110, 1988, pp. 323-382). | MR | Zbl
,[HT1] Katz p-adic L-functions, Congruence Modules and Deformation of Galois Representations (Proceedings of Durham Symposium on Arithmetic of L-functions, 1989). | Zbl
and ,[HT2] On the Anti-cyclotomic Main Conjecture for CM Fields, preprint.
and ,[K1] Travaux de Dwork (Séminaire Bourbaki, 409, 1972). | Numdam
,[K2] Nilpotent Connections and the Monodromy Theorem. Applications of a Result of Turrittin (Publ. Math. I.H.E.S., Vol. 39, 1970, pp. 175-232). | Numdam | MR | Zbl
,[K3] Serre-Tate Local Moduli, in Surfaces algébriques (Lecture Notes in Math., No. 868, Springer, 1978, pp. 138-202. | MR | Zbl
,[K4] p-adic L-functions for CM Fields (Invent. Math., Vol. 49, 1878, pp. 199-297). | MR | Zbl
,[KO] On the Differentiation of the De Rham Cohomology Classes with Respect to Parameters (J. Math. Kyoto Univ., Vol. 8, 1968, pp. 199-213). | MR | Zbl
, and ,[Kn] Algebraic Spaces (Springer Lecture Notes in Math., No. 203). | MR | Zbl
,[M] An Analytic Construction of Degenerating Abelian Varieties Over Complete Rings (Comp. Math., Vol. 24, 1972, pp. 239-272). | Numdam | MR | Zbl
,[MT] Représentations galoisiennes, différentielles de Kähler et conjectures principales (Publ. I.H.E.S., No. 71, 1990, pp. 65-103). | Numdam | MR | Zbl
and ,[R] Compactifications de l'espace de modules de Hilbert-Blumenthal (Composition Math., Vol. 36, 1978, pp. 255-335). | Numdam | MR | Zbl
,[Sch] P-adic Measures Attached to Automorphic Representations of GL(3) [Inventiones Math., Vol. 92, 1988, pp. 597-631]. | MR | Zbl
,[Sh] On Some Arithmetic Properties of Modular Forms of One and Several Variables (Ann. of Math., Vol. 102, 1975, pp. 491-515). | MR | Zbl
,[T] Sur la conjecture principale anticyclotomique (Duke Math. J., Vol. 59, 1989, pp. 629-673). | MR | Zbl
,[W] Basic Number Theory, Springer, 1974. | MR | Zbl
,[Y] On the Representation of the Galois Groups Obtained from Hilbert Modular Forms (Thesis, Princeton University, 1973).
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