@article{ASENS_1986_4_19_2_231_0, author = {Hida, Haruzo}, title = {Iwasawa modules attached to congruences of cusp forms}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, volume = {19}, year = {1986}, pages = {231-273}, doi = {10.24033/asens.1507}, mrnumber = {88i:11023}, zbl = {0607.10022}, language = {en}, url = {http://dml.mathdoc.fr/item/ASENS_1986_4_19_2_231_0} }
Hida, Haruzo. Iwasawa modules attached to congruences of cusp forms. Annales scientifiques de l'École Normale Supérieure, Tome 19 (1986) pp. 231-273. doi : 10.24033/asens.1507. http://gdmltest.u-ga.fr/item/ASENS_1986_4_19_2_231_0/
[1] Commutative algebra, Hermann, Paris, 1972. | MR 360549
,[2] Arithmetic properties of generalized Bernoulli numbers (J. reine angew. Math., Vol. 202, 1959, pp. 174-182). | MR 109132 | Zbl 0125.02202
,[3] Modular functions of one variable, II (Lecture notes in Math., Vol. 349, pp. 143-174, Springer, 1973). | MR 337993 | Zbl 0281.14010
and , Les schémas de modules des courbes elliptiques, in :[4] Automorphic forms and number theory (in Japanese), Kinokuniya Shoten, Tokyo, 1976. | Zbl 0466.10012
and ,[5] Zur Theorie der elliptischen module Funktionen (Math. Ann., Vol. 97, 1926, pp. 210-242 (= Werke No. 23)). | JFM 52.0377.04
,[6] Theorie der Eisensteinschen Reihen höherer Stufe und ihre Anwendung auf Funktionentheorie und Arithmetik (Abh. Math. Sem. Hamburg, Vol. 5, 1927, pp. 199-224 (= Werke No. 24)). | JFM 53.0345.02
,[7] Congruences of cusp forms and special values of their zeta functions (Inventiones Math., Vol. 63, 1981, pp. 225-261). | MR 610538 | Zbl 0459.10018
,[8] On congruence divisors of cusp forms as factors of the special values of their zeta functions (Inventiones Math., Vol. 64, 1981, pp. 221-262). | MR 629471 | Zbl 0472.10028
,[9] Kummer's criterion for the special values of Hecke L-functions of imaginary quadratic fields and congruences among cusp forms (Inventiones Math., Vol. 66, 1982, pp. 415-459). | MR 662601 | Zbl 0485.10019
,[10] A p-adic measure attached to the zeta functions associated with two elliptic modular forms, I (Inventiones Math., Vol. 79, 1985, pp. 159-195). | MR 774534 | Zbl 0573.10020
,[11] Galois representations into GL2 (Zp[[X]]) attached to ordinary cusp forms, to appear in Inventiones Math. | MR 848685 | Zbl 0612.10021
,[12] On Γ-extensions of algebraic number fields, Bull. (Amer. Math. Soc., Vol. 65, 1959, pp. 183-226). | MR 124316 | Zbl 0089.02402
,[13] Congruences between systems of eigenvalues of modular forms (Trans. Amer. Math. Soc., Vol. 270, 1982, pp. 269-285). | MR 642341 | Zbl 0536.10022
,[14] p-adic properties of modular schemes and modular forms, in : Modular functions of one variable, III (Lecture notes in Math., Vol. 350, 1973, pp. 69-190). | MR 447119 | Zbl 0271.10033
,[15] p-adic L-functions via moduli of elliptic curves (Proc. Symp. Pure Math., Vol. 29, 1975, pp. 479-506). | MR 432649 | Zbl 0317.14009
,[16] Higher congruences between modular forms (Ann. of Math., Vol. 101, 1975, pp. 332-367). | MR 417059 | Zbl 0356.10020
,[17] The Eisenstein measure and p-adic interpolation (Amer. J. Math., Vol. 99, 1977, pp. 238-311). | MR 485797 | Zbl 0375.12022
,[18] p-adic interpolation of real analytic Eisenstein series (Ann. of Math., Vol. 104, 1976, pp. 459-571). | MR 506271 | Zbl 0354.14007
,[19] Introduction to modular forms, Grundlehren der Math. Wiss., Vol. 222, Springer, 1976. | MR 429740 | Zbl 0344.10011
,[20] Cyclotomic fields, Grad. Texts in Math., Vol. 59, Springer, 1978. | MR 485768 | Zbl 0395.12005
,[21] p-adic numbers and their functions, Cambridge Univ. Press, Cambridge, 1981. | MR 644483 | Zbl 0444.12013
,[22] Modular curves and the Eisenstein ideal (Publ. Math. I.H.E.S., Vol. 47, 1977, pp. 33-186). | Numdam | MR 488287 | Zbl 0394.14008
,[23] On automorphic forms on GL2 and Hecke operators (Ann. of Math., Vol. 94, 1971, pp. 174-189). | MR 299559 | Zbl 0204.54201
,[24] Mod p Hecke operators and congruences between modular forms (Inventiones Math., Vol. 71, 1983, p. 193-205). | MR 688264 | Zbl 0508.10018
,[25] Classes des corps cyclotomiques, d'après Iwasawa, Séminaire Bourbaki, 1958. | Numdam | Zbl 0119.27603
,[26] On elliptic curves with complex multiplication as factors of the jacobians of modular function fields (Nagoya Math. J., Vol. 43, 1971, pp. 199-208). | MR 296050 | Zbl 0225.14015
,[27] On the Fourier coefficients of modular forms of several variables (Göttingen Nachr. Akad. Wiss., 1975, pp. 261-268). | MR 485706 | Zbl 0332.32024
,[28] The periods of certain automorphic forms of arithmetic type (J. Fac. Sci. Univ. Tokyo, Sec. IA, Vol. 28, 1982, pp. 605-632). | MR 656039 | Zbl 0499.10027
,[29] Introduction to the arithmetic theory of automorphic functions, Iwanami Shoten and Princeton Univ. Press, 1971. | Zbl 0221.10029
,[30] L'intégration dans les groupes topologiques et ses applications, Hermann, Paris, 1958.
,[31] Congruences of cusp forms and Hecke algebras, Séminaire de Théorie des Nombres, Paris, 1983-1984, Progress in Math. No 59, pp. 133-146. | MR 902830 | Zbl 0575.10025
,